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Finding the Fourth Proportional to 1,031.73, 1,423.79 and 565.98

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Solution

The fourth proportional to 1,031.73, 1,423.79 and 565.98 is: 781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.73 : 1,423.79 = 565.98 : x
  2. Step 2: Convert to fraction form
    1,031.73/1,423.79 = 565.98/x
  3. Step 3: Cross multiply
    1,031.73x = 1,423.79 × 565.98
  4. Step 4: Simplify right side
    1,031.73x = 805,833.80
  5. Step 5: Solve for x
    x = 805,833.80/1,031.73
  6. Step 6: Final answer
    x = 781.05

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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.