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Finding the Fourth Proportional to 968.82, 1,337.82 and 615.42

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Solution

The fourth proportional to 968.82, 1,337.82 and 615.42 is: 849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.82 : 1,337.82 = 615.42 : x
  2. Step 2: Convert to fraction form
    968.82/1,337.82 = 615.42/x
  3. Step 3: Cross multiply
    968.82x = 1,337.82 × 615.42
  4. Step 4: Simplify right side
    968.82x = 823,321.18
  5. Step 5: Solve for x
    x = 823,321.18/968.82
  6. Step 6: Final answer
    x = 849.82

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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.