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Finding the Fourth Proportional to 1,031.12, 1,422.98 and 565.38

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Solution

The fourth proportional to 1,031.12, 1,422.98 and 565.38 is: 780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.12 : 1,422.98 = 565.38 : x
  2. Step 2: Convert to fraction form
    1,031.12/1,422.98 = 565.38/x
  3. Step 3: Cross multiply
    1,031.12x = 1,422.98 × 565.38
  4. Step 4: Simplify right side
    1,031.12x = 804,524.43
  5. Step 5: Solve for x
    x = 804,524.43/1,031.12
  6. Step 6: Final answer
    x = 780.24

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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.