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Finding the Fourth Proportional to 1,031.71, 1,423.75 and 565.96

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Solution

The fourth proportional to 1,031.71, 1,423.75 and 565.96 is: 781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.71 : 1,423.75 = 565.96 : x
  2. Step 2: Convert to fraction form
    1,031.71/1,423.75 = 565.96/x
  3. Step 3: Cross multiply
    1,031.71x = 1,423.75 × 565.96
  4. Step 4: Simplify right side
    1,031.71x = 805,785.55
  5. Step 5: Solve for x
    x = 805,785.55/1,031.71
  6. Step 6: Final answer
    x = 781.02

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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.