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Finding the Fourth Proportional to 689.28, 938.40 and 677.76

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Solution

The fourth proportional to 689.28, 938.40 and 677.76 is: 922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.28 : 938.40 = 677.76 : x
  2. Step 2: Convert to fraction form
    689.28/938.40 = 677.76/x
  3. Step 3: Cross multiply
    689.28x = 938.40 × 677.76
  4. Step 4: Simplify right side
    689.28x = 636,009.98
  5. Step 5: Solve for x
    x = 636,009.98/689.28
  6. Step 6: Final answer
    x = 922.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.