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Finding the Fourth Proportional to 625.04, 861.16 and 566.80

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Solution

The fourth proportional to 625.04, 861.16 and 566.80 is: 780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.04 : 861.16 = 566.80 : x
  2. Step 2: Convert to fraction form
    625.04/861.16 = 566.80/x
  3. Step 3: Cross multiply
    625.04x = 861.16 × 566.80
  4. Step 4: Simplify right side
    625.04x = 488,105.49
  5. Step 5: Solve for x
    x = 488,105.49/625.04
  6. Step 6: Final answer
    x = 780.92

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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.