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Finding the Fourth Proportional to 742.66, 1,023.72 and 584.92

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Solution

The fourth proportional to 742.66, 1,023.72 and 584.92 is: 806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.66 : 1,023.72 = 584.92 : x
  2. Step 2: Convert to fraction form
    742.66/1,023.72 = 584.92/x
  3. Step 3: Cross multiply
    742.66x = 1,023.72 × 584.92
  4. Step 4: Simplify right side
    742.66x = 598,794.30
  5. Step 5: Solve for x
    x = 598,794.30/742.66
  6. Step 6: Final answer
    x = 806.28

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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.