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Finding the Fourth Proportional to 1,008.87, 1,392.26 and 677.72

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Solution

The fourth proportional to 1,008.87, 1,392.26 and 677.72 is: 935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.87 : 1,392.26 = 677.72 : x
  2. Step 2: Convert to fraction form
    1,008.87/1,392.26 = 677.72/x
  3. Step 3: Cross multiply
    1,008.87x = 1,392.26 × 677.72
  4. Step 4: Simplify right side
    1,008.87x = 943,552.10
  5. Step 5: Solve for x
    x = 943,552.10/1,008.87
  6. Step 6: Final answer
    x = 935.26

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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.