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Finding the Fourth Proportional to 741.52, 1,104.44 and 702.48

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Solution

The fourth proportional to 741.52, 1,104.44 and 702.48 is: 1,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.52 : 1,104.44 = 702.48 : x
  2. Step 2: Convert to fraction form
    741.52/1,104.44 = 702.48/x
  3. Step 3: Cross multiply
    741.52x = 1,104.44 × 702.48
  4. Step 4: Simplify right side
    741.52x = 775,847.64
  5. Step 5: Solve for x
    x = 775,847.64/741.52
  6. Step 6: Final answer
    x = 1,046.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.