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Finding the Fourth Proportional to 1,031.92, 1,424.01 and 566.18

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Solution

The fourth proportional to 1,031.92, 1,424.01 and 566.18 is: 781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.92 : 1,424.01 = 566.18 : x
  2. Step 2: Convert to fraction form
    1,031.92/1,424.01 = 566.18/x
  3. Step 3: Cross multiply
    1,031.92x = 1,424.01 × 566.18
  4. Step 4: Simplify right side
    1,031.92x = 806,245.98
  5. Step 5: Solve for x
    x = 806,245.98/1,031.92
  6. Step 6: Final answer
    x = 781.31

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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.