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Finding the Fourth Proportional to 1,031.52, 1,423.46 and 565.76

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Solution

The fourth proportional to 1,031.52, 1,423.46 and 565.76 is: 780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.52 : 1,423.46 = 565.76 : x
  2. Step 2: Convert to fraction form
    1,031.52/1,423.46 = 565.76/x
  3. Step 3: Cross multiply
    1,031.52x = 1,423.46 × 565.76
  4. Step 4: Simplify right side
    1,031.52x = 805,336.73
  5. Step 5: Solve for x
    x = 805,336.73/1,031.52
  6. Step 6: Final answer
    x = 780.73

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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.