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Finding the Fourth Proportional to 987.47, 1,362.68 and 545.36

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Solution

The fourth proportional to 987.47, 1,362.68 and 545.36 is: 752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.47 : 1,362.68 = 545.36 : x
  2. Step 2: Convert to fraction form
    987.47/1,362.68 = 545.36/x
  3. Step 3: Cross multiply
    987.47x = 1,362.68 × 545.36
  4. Step 4: Simplify right side
    987.47x = 743,153.21
  5. Step 5: Solve for x
    x = 743,153.21/987.47
  6. Step 6: Final answer
    x = 752.59

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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.