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Finding the Fourth Proportional to 735.70, 1,103.55 and 724.90

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Solution

The fourth proportional to 735.70, 1,103.55 and 724.90 is: 1,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.70 : 1,103.55 = 724.90 : x
  2. Step 2: Convert to fraction form
    735.70/1,103.55 = 724.90/x
  3. Step 3: Cross multiply
    735.70x = 1,103.55 × 724.90
  4. Step 4: Simplify right side
    735.70x = 799,963.40
  5. Step 5: Solve for x
    x = 799,963.40/735.70
  6. Step 6: Final answer
    x = 1,087.35

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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.