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Finding the Fourth Proportional to 732.47, 1,100.96 and 490.55

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Solution

The fourth proportional to 732.47, 1,100.96 and 490.55 is: 737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.47 : 1,100.96 = 490.55 : x
  2. Step 2: Convert to fraction form
    732.47/1,100.96 = 490.55/x
  3. Step 3: Cross multiply
    732.47x = 1,100.96 × 490.55
  4. Step 4: Simplify right side
    732.47x = 540,074.40
  5. Step 5: Solve for x
    x = 540,074.40/732.47
  6. Step 6: Final answer
    x = 737.34

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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.