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Finding the Fourth Proportional to 1,031.04, 1,422.86 and 565.29

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Solution

The fourth proportional to 1,031.04, 1,422.86 and 565.29 is: 780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.04 : 1,422.86 = 565.29 : x
  2. Step 2: Convert to fraction form
    1,031.04/1,422.86 = 565.29/x
  3. Step 3: Cross multiply
    1,031.04x = 1,422.86 × 565.29
  4. Step 4: Simplify right side
    1,031.04x = 804,325.70
  5. Step 5: Solve for x
    x = 804,325.70/1,031.04
  6. Step 6: Final answer
    x = 780.11

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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.