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Finding the Fourth Proportional to 853.70, 1,178.16 and 480.76

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Solution

The fourth proportional to 853.70, 1,178.16 and 480.76 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.70 : 1,178.16 = 480.76 : x
  2. Step 2: Convert to fraction form
    853.70/1,178.16 = 480.76/x
  3. Step 3: Cross multiply
    853.70x = 1,178.16 × 480.76
  4. Step 4: Simplify right side
    853.70x = 566,412.20
  5. Step 5: Solve for x
    x = 566,412.20/853.70
  6. Step 6: Final answer
    x = 663.48

Related Problems

Find fourth proportional to 426.85, 589.08 and 240.38
Half scale
Find fourth proportional to 1,707.40, 2,356.32 and 961.52
Double scale
Find fourth proportional to 854.70, 1,179.54 and 481.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.