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Finding the Fourth Proportional to 957.29, 1,320.96 and 677.68

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Solution

The fourth proportional to 957.29, 1,320.96 and 677.68 is: 935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.29 : 1,320.96 = 677.68 : x
  2. Step 2: Convert to fraction form
    957.29/1,320.96 = 677.68/x
  3. Step 3: Cross multiply
    957.29x = 1,320.96 × 677.68
  4. Step 4: Simplify right side
    957.29x = 895,187.41
  5. Step 5: Solve for x
    x = 895,187.41/957.29
  6. Step 6: Final answer
    x = 935.13

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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.