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Finding the Fourth Proportional to 737.20, 1,015.56 and 515.80

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Solution

The fourth proportional to 737.20, 1,015.56 and 515.80 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.20 : 1,015.56 = 515.80 : x
  2. Step 2: Convert to fraction form
    737.20/1,015.56 = 515.80/x
  3. Step 3: Cross multiply
    737.20x = 1,015.56 × 515.80
  4. Step 4: Simplify right side
    737.20x = 523,825.85
  5. Step 5: Solve for x
    x = 523,825.85/737.20
  6. Step 6: Final answer
    x = 710.56

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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.