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Finding the Fourth Proportional to 731.70, 1,097.51 and 293.18

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Solution

The fourth proportional to 731.70, 1,097.51 and 293.18 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.70 : 1,097.51 = 293.18 : x
  2. Step 2: Convert to fraction form
    731.70/1,097.51 = 293.18/x
  3. Step 3: Cross multiply
    731.70x = 1,097.51 × 293.18
  4. Step 4: Simplify right side
    731.70x = 321,761.03
  5. Step 5: Solve for x
    x = 321,761.03/731.70
  6. Step 6: Final answer
    x = 439.74

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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.