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Finding the Fourth Proportional to 728.04, 1,092.06 and 532.56

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Solution

The fourth proportional to 728.04, 1,092.06 and 532.56 is: 798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.04 : 1,092.06 = 532.56 : x
  2. Step 2: Convert to fraction form
    728.04/1,092.06 = 532.56/x
  3. Step 3: Cross multiply
    728.04x = 1,092.06 × 532.56
  4. Step 4: Simplify right side
    728.04x = 581,587.47
  5. Step 5: Solve for x
    x = 581,587.47/728.04
  6. Step 6: Final answer
    x = 798.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.