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Finding the Fourth Proportional to 671.04, 1,002.24 and 597.60

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Solution

The fourth proportional to 671.04, 1,002.24 and 597.60 is: 892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.04 : 1,002.24 = 597.60 : x
  2. Step 2: Convert to fraction form
    671.04/1,002.24 = 597.60/x
  3. Step 3: Cross multiply
    671.04x = 1,002.24 × 597.60
  4. Step 4: Simplify right side
    671.04x = 598,938.62
  5. Step 5: Solve for x
    x = 598,938.62/671.04
  6. Step 6: Final answer
    x = 892.55

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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.