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Finding the Fourth Proportional to 1,134.74, 1,702.42 and 648.13

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Solution

The fourth proportional to 1,134.74, 1,702.42 and 648.13 is: 972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.74 : 1,702.42 = 648.13 : x
  2. Step 2: Convert to fraction form
    1,134.74/1,702.42 = 648.13/x
  3. Step 3: Cross multiply
    1,134.74x = 1,702.42 × 648.13
  4. Step 4: Simplify right side
    1,134.74x = 1,103,389.47
  5. Step 5: Solve for x
    x = 1,103,389.47/1,134.74
  6. Step 6: Final answer
    x = 972.38

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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.