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Finding the Fourth Proportional to 987.92, 1,363.50 and 752.65

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Solution

The fourth proportional to 987.92, 1,363.50 and 752.65 is: 1,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.92 : 1,363.50 = 752.65 : x
  2. Step 2: Convert to fraction form
    987.92/1,363.50 = 752.65/x
  3. Step 3: Cross multiply
    987.92x = 1,363.50 × 752.65
  4. Step 4: Simplify right side
    987.92x = 1,026,234.87
  5. Step 5: Solve for x
    x = 1,026,234.87/987.92
  6. Step 6: Final answer
    x = 1,038.78

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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.