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Finding the Fourth Proportional to 1,141.98, 1,576 and 861.72

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Solution

The fourth proportional to 1,141.98, 1,576 and 861.72 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.98 : 1,576 = 861.72 : x
  2. Step 2: Convert to fraction form
    1,141.98/1,576 = 861.72/x
  3. Step 3: Cross multiply
    1,141.98x = 1,576 × 861.72
  4. Step 4: Simplify right side
    1,141.98x = 1,358,070.72
  5. Step 5: Solve for x
    x = 1,358,070.72/1,141.98
  6. Step 6: Final answer
    x = 1,189.22

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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.