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Finding the Fourth Proportional to 1,079.26, 1,489.37 and 631.42

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Solution

The fourth proportional to 1,079.26, 1,489.37 and 631.42 is: 871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.26 : 1,489.37 = 631.42 : x
  2. Step 2: Convert to fraction form
    1,079.26/1,489.37 = 631.42/x
  3. Step 3: Cross multiply
    1,079.26x = 1,489.37 × 631.42
  4. Step 4: Simplify right side
    1,079.26x = 940,411.12
  5. Step 5: Solve for x
    x = 940,411.12/1,079.26
  6. Step 6: Final answer
    x = 871.35

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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.