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Finding the Fourth Proportional to 748.40, 1,112.91 and 725.30

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Solution

The fourth proportional to 748.40, 1,112.91 and 725.30 is: 1,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.40 : 1,112.91 = 725.30 : x
  2. Step 2: Convert to fraction form
    748.40/1,112.91 = 725.30/x
  3. Step 3: Cross multiply
    748.40x = 1,112.91 × 725.30
  4. Step 4: Simplify right side
    748.40x = 807,190.00
  5. Step 5: Solve for x
    x = 807,190.00/748.40
  6. Step 6: Final answer
    x = 1,078.55

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