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Finding the Fourth Proportional to 681.62, 1,023.30 and 567.46

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Solution

The fourth proportional to 681.62, 1,023.30 and 567.46 is: 851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 1,023.30 = 567.46 : x
  2. Step 2: Convert to fraction form
    681.62/1,023.30 = 567.46/x
  3. Step 3: Cross multiply
    681.62x = 1,023.30 × 567.46
  4. Step 4: Simplify right side
    681.62x = 580,681.82
  5. Step 5: Solve for x
    x = 580,681.82/681.62
  6. Step 6: Final answer
    x = 851.91

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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.