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Finding the Fourth Proportional to 1,034.14, 1,426.82 and 614.32

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Solution

The fourth proportional to 1,034.14, 1,426.82 and 614.32 is: 847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.14 : 1,426.82 = 614.32 : x
  2. Step 2: Convert to fraction form
    1,034.14/1,426.82 = 614.32/x
  3. Step 3: Cross multiply
    1,034.14x = 1,426.82 × 614.32
  4. Step 4: Simplify right side
    1,034.14x = 876,524.06
  5. Step 5: Solve for x
    x = 876,524.06/1,034.14
  6. Step 6: Final answer
    x = 847.59

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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.