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Finding the Fourth Proportional to 853.68, 1,178.25 and 558.84

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Solution

The fourth proportional to 853.68, 1,178.25 and 558.84 is: 771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.68 : 1,178.25 = 558.84 : x
  2. Step 2: Convert to fraction form
    853.68/1,178.25 = 558.84/x
  3. Step 3: Cross multiply
    853.68x = 1,178.25 × 558.84
  4. Step 4: Simplify right side
    853.68x = 658,453.23
  5. Step 5: Solve for x
    x = 658,453.23/853.68
  6. Step 6: Final answer
    x = 771.31

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Double scale
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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.