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Finding the Fourth Proportional to 1,134.38, 1,702.38 and 614.56

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Solution

The fourth proportional to 1,134.38, 1,702.38 and 614.56 is: 922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.38 : 1,702.38 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,134.38/1,702.38 = 614.56/x
  3. Step 3: Cross multiply
    1,134.38x = 1,702.38 × 614.56
  4. Step 4: Simplify right side
    1,134.38x = 1,046,214.65
  5. Step 5: Solve for x
    x = 1,046,214.65/1,134.38
  6. Step 6: Final answer
    x = 922.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.