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Finding the Fourth Proportional to 721.53, 996.03 and 597.60

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Solution

The fourth proportional to 721.53, 996.03 and 597.60 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 996.03 = 597.60 : x
  2. Step 2: Convert to fraction form
    721.53/996.03 = 597.60/x
  3. Step 3: Cross multiply
    721.53x = 996.03 × 597.60
  4. Step 4: Simplify right side
    721.53x = 595,227.53
  5. Step 5: Solve for x
    x = 595,227.53/721.53
  6. Step 6: Final answer
    x = 824.95

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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.