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Finding the Fourth Proportional to 1,144.17, 1,578.84 and 702.09

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Solution

The fourth proportional to 1,144.17, 1,578.84 and 702.09 is: 968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.17 : 1,578.84 = 702.09 : x
  2. Step 2: Convert to fraction form
    1,144.17/1,578.84 = 702.09/x
  3. Step 3: Cross multiply
    1,144.17x = 1,578.84 × 702.09
  4. Step 4: Simplify right side
    1,144.17x = 1,108,487.78
  5. Step 5: Solve for x
    x = 1,108,487.78/1,144.17
  6. Step 6: Final answer
    x = 968.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.