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Finding the Fourth Proportional to 1,141.88, 1,575.57 and 676.16

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Solution

The fourth proportional to 1,141.88, 1,575.57 and 676.16 is: 932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.88 : 1,575.57 = 676.16 : x
  2. Step 2: Convert to fraction form
    1,141.88/1,575.57 = 676.16/x
  3. Step 3: Cross multiply
    1,141.88x = 1,575.57 × 676.16
  4. Step 4: Simplify right side
    1,141.88x = 1,065,337.41
  5. Step 5: Solve for x
    x = 1,065,337.41/1,141.88
  6. Step 6: Final answer
    x = 932.97

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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.