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Finding the Fourth Proportional to 1,156.56, 1,731.74 and 881.34

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Solution

The fourth proportional to 1,156.56, 1,731.74 and 881.34 is: 1,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.56 : 1,731.74 = 881.34 : x
  2. Step 2: Convert to fraction form
    1,156.56/1,731.74 = 881.34/x
  3. Step 3: Cross multiply
    1,156.56x = 1,731.74 × 881.34
  4. Step 4: Simplify right side
    1,156.56x = 1,526,251.73
  5. Step 5: Solve for x
    x = 1,526,251.73/1,156.56
  6. Step 6: Final answer
    x = 1,319.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.