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Finding the Fourth Proportional to 886.28, 1,223.49 and 686.66

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Solution

The fourth proportional to 886.28, 1,223.49 and 686.66 is: 947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.28 : 1,223.49 = 686.66 : x
  2. Step 2: Convert to fraction form
    886.28/1,223.49 = 686.66/x
  3. Step 3: Cross multiply
    886.28x = 1,223.49 × 686.66
  4. Step 4: Simplify right side
    886.28x = 840,115.53
  5. Step 5: Solve for x
    x = 840,115.53/886.28
  6. Step 6: Final answer
    x = 947.92

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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.