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Finding the Fourth Proportional to 728.60, 1,006.37 and 529.12

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Solution

The fourth proportional to 728.60, 1,006.37 and 529.12 is: 730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.60 : 1,006.37 = 529.12 : x
  2. Step 2: Convert to fraction form
    728.60/1,006.37 = 529.12/x
  3. Step 3: Cross multiply
    728.60x = 1,006.37 × 529.12
  4. Step 4: Simplify right side
    728.60x = 532,489.30
  5. Step 5: Solve for x
    x = 532,489.30/728.60
  6. Step 6: Final answer
    x = 730.84

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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.