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Finding the Fourth Proportional to 1,141.83, 1,575.82 and 644.57

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Solution

The fourth proportional to 1,141.83, 1,575.82 and 644.57 is: 889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.83 : 1,575.82 = 644.57 : x
  2. Step 2: Convert to fraction form
    1,141.83/1,575.82 = 644.57/x
  3. Step 3: Cross multiply
    1,141.83x = 1,575.82 × 644.57
  4. Step 4: Simplify right side
    1,141.83x = 1,015,726.30
  5. Step 5: Solve for x
    x = 1,015,726.30/1,141.83
  6. Step 6: Final answer
    x = 889.56

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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.