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Finding the Fourth Proportional to 729.54, 1,006.36 and 463.50

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Solution

The fourth proportional to 729.54, 1,006.36 and 463.50 is: 639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.54 : 1,006.36 = 463.50 : x
  2. Step 2: Convert to fraction form
    729.54/1,006.36 = 463.50/x
  3. Step 3: Cross multiply
    729.54x = 1,006.36 × 463.50
  4. Step 4: Simplify right side
    729.54x = 466,447.86
  5. Step 5: Solve for x
    x = 466,447.86/729.54
  6. Step 6: Final answer
    x = 639.37

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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.