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Finding the Fourth Proportional to 731.52, 1,095.84 and 484.56

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Solution

The fourth proportional to 731.52, 1,095.84 and 484.56 is: 725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.52 : 1,095.84 = 484.56 : x
  2. Step 2: Convert to fraction form
    731.52/1,095.84 = 484.56/x
  3. Step 3: Cross multiply
    731.52x = 1,095.84 × 484.56
  4. Step 4: Simplify right side
    731.52x = 531,000.23
  5. Step 5: Solve for x
    x = 531,000.23/731.52
  6. Step 6: Final answer
    x = 725.89

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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.