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Finding the Fourth Proportional to 1,397.55, 2,097.24 and 531.87

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Solution

The fourth proportional to 1,397.55, 2,097.24 and 531.87 is: 798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.55 : 2,097.24 = 531.87 : x
  2. Step 2: Convert to fraction form
    1,397.55/2,097.24 = 531.87/x
  3. Step 3: Cross multiply
    1,397.55x = 2,097.24 × 531.87
  4. Step 4: Simplify right side
    1,397.55x = 1,115,459.04
  5. Step 5: Solve for x
    x = 1,115,459.04/1,397.55
  6. Step 6: Final answer
    x = 798.15

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Why These Related Problems?

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