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Finding the Fourth Proportional to 1,102.43, 1,519.67 and 925.97

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Solution

The fourth proportional to 1,102.43, 1,519.67 and 925.97 is: 1,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.43 : 1,519.67 = 925.97 : x
  2. Step 2: Convert to fraction form
    1,102.43/1,519.67 = 925.97/x
  3. Step 3: Cross multiply
    1,102.43x = 1,519.67 × 925.97
  4. Step 4: Simplify right side
    1,102.43x = 1,407,168.74
  5. Step 5: Solve for x
    x = 1,407,168.74/1,102.43
  6. Step 6: Final answer
    x = 1,276.43

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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.