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Finding the Fourth Proportional to 880.71, 1,215.28 and 615.73

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Solution

The fourth proportional to 880.71, 1,215.28 and 615.73 is: 849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.71 : 1,215.28 = 615.73 : x
  2. Step 2: Convert to fraction form
    880.71/1,215.28 = 615.73/x
  3. Step 3: Cross multiply
    880.71x = 1,215.28 × 615.73
  4. Step 4: Simplify right side
    880.71x = 748,284.35
  5. Step 5: Solve for x
    x = 748,284.35/880.71
  6. Step 6: Final answer
    x = 849.64

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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.