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Finding the Fourth Proportional to 681.24, 1,023.54 and 566.52

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Solution

The fourth proportional to 681.24, 1,023.54 and 566.52 is: 851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.24 : 1,023.54 = 566.52 : x
  2. Step 2: Convert to fraction form
    681.24/1,023.54 = 566.52/x
  3. Step 3: Cross multiply
    681.24x = 1,023.54 × 566.52
  4. Step 4: Simplify right side
    681.24x = 579,855.88
  5. Step 5: Solve for x
    x = 579,855.88/681.24
  6. Step 6: Final answer
    x = 851.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.