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Finding the Fourth Proportional to 987.96, 1,363.42 and 545.82

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Solution

The fourth proportional to 987.96, 1,363.42 and 545.82 is: 753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.96 : 1,363.42 = 545.82 : x
  2. Step 2: Convert to fraction form
    987.96/1,363.42 = 545.82/x
  3. Step 3: Cross multiply
    987.96x = 1,363.42 × 545.82
  4. Step 4: Simplify right side
    987.96x = 744,181.90
  5. Step 5: Solve for x
    x = 744,181.90/987.96
  6. Step 6: Final answer
    x = 753.25

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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.