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Finding the Fourth Proportional to 853.54, 1,178.02 and 480.54

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Solution

The fourth proportional to 853.54, 1,178.02 and 480.54 is: 663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.54 : 1,178.02 = 480.54 : x
  2. Step 2: Convert to fraction form
    853.54/1,178.02 = 480.54/x
  3. Step 3: Cross multiply
    853.54x = 1,178.02 × 480.54
  4. Step 4: Simplify right side
    853.54x = 566,085.73
  5. Step 5: Solve for x
    x = 566,085.73/853.54
  6. Step 6: Final answer
    x = 663.22

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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.