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Finding the Fourth Proportional to 729.63, 1,006.47 and 463.59

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Solution

The fourth proportional to 729.63, 1,006.47 and 463.59 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.63 : 1,006.47 = 463.59 : x
  2. Step 2: Convert to fraction form
    729.63/1,006.47 = 463.59/x
  3. Step 3: Cross multiply
    729.63x = 1,006.47 × 463.59
  4. Step 4: Simplify right side
    729.63x = 466,589.43
  5. Step 5: Solve for x
    x = 466,589.43/729.63
  6. Step 6: Final answer
    x = 639.49

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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.