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Finding the Fourth Proportional to 650.97, 898.47 and 566.19

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Solution

The fourth proportional to 650.97, 898.47 and 566.19 is: 781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.97 : 898.47 = 566.19 : x
  2. Step 2: Convert to fraction form
    650.97/898.47 = 566.19/x
  3. Step 3: Cross multiply
    650.97x = 898.47 × 566.19
  4. Step 4: Simplify right side
    650.97x = 508,704.73
  5. Step 5: Solve for x
    x = 508,704.73/650.97
  6. Step 6: Final answer
    x = 781.46

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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.