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Finding the Fourth Proportional to 874.92, 1,206.99 and 560.10

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Solution

The fourth proportional to 874.92, 1,206.99 and 560.10 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,206.99 = 560.10 : x
  2. Step 2: Convert to fraction form
    874.92/1,206.99 = 560.10/x
  3. Step 3: Cross multiply
    874.92x = 1,206.99 × 560.10
  4. Step 4: Simplify right side
    874.92x = 676,035.10
  5. Step 5: Solve for x
    x = 676,035.10/874.92
  6. Step 6: Final answer
    x = 772.68

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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.