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Finding the Fourth Proportional to 987.87, 1,363.12 and 562.50

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Solution

The fourth proportional to 987.87, 1,363.12 and 562.50 is: 776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.87 : 1,363.12 = 562.50 : x
  2. Step 2: Convert to fraction form
    987.87/1,363.12 = 562.50/x
  3. Step 3: Cross multiply
    987.87x = 1,363.12 × 562.50
  4. Step 4: Simplify right side
    987.87x = 766,753.59
  5. Step 5: Solve for x
    x = 766,753.59/987.87
  6. Step 6: Final answer
    x = 776.17

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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.