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Finding the Fourth Proportional to 993.71, 1,371.31 and 545.59

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Solution

The fourth proportional to 993.71, 1,371.31 and 545.59 is: 752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.71 : 1,371.31 = 545.59 : x
  2. Step 2: Convert to fraction form
    993.71/1,371.31 = 545.59/x
  3. Step 3: Cross multiply
    993.71x = 1,371.31 × 545.59
  4. Step 4: Simplify right side
    993.71x = 748,166.17
  5. Step 5: Solve for x
    x = 748,166.17/993.71
  6. Step 6: Final answer
    x = 752.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.