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Finding the Fourth Proportional to 1,031.72, 1,423.82 and 565.98

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Solution

The fourth proportional to 1,031.72, 1,423.82 and 565.98 is: 781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.72 : 1,423.82 = 565.98 : x
  2. Step 2: Convert to fraction form
    1,031.72/1,423.82 = 565.98/x
  3. Step 3: Cross multiply
    1,031.72x = 1,423.82 × 565.98
  4. Step 4: Simplify right side
    1,031.72x = 805,853.64
  5. Step 5: Solve for x
    x = 805,853.64/1,031.72
  6. Step 6: Final answer
    x = 781.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.