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Finding the Fourth Proportional to 874.62, 1,206.83 and 560.16

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Solution

The fourth proportional to 874.62, 1,206.83 and 560.16 is: 772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.62 : 1,206.83 = 560.16 : x
  2. Step 2: Convert to fraction form
    874.62/1,206.83 = 560.16/x
  3. Step 3: Cross multiply
    874.62x = 1,206.83 × 560.16
  4. Step 4: Simplify right side
    874.62x = 676,009.06
  5. Step 5: Solve for x
    x = 676,009.06/874.62
  6. Step 6: Final answer
    x = 772.92

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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.