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Finding the Fourth Proportional to 1,144.41, 1,579.33 and 702.23

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Solution

The fourth proportional to 1,144.41, 1,579.33 and 702.23 is: 969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.41 : 1,579.33 = 702.23 : x
  2. Step 2: Convert to fraction form
    1,144.41/1,579.33 = 702.23/x
  3. Step 3: Cross multiply
    1,144.41x = 1,579.33 × 702.23
  4. Step 4: Simplify right side
    1,144.41x = 1,109,052.91
  5. Step 5: Solve for x
    x = 1,109,052.91/1,144.41
  6. Step 6: Final answer
    x = 969.10

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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.