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Finding the Fourth Proportional to 1,447.76, 1,997.91 and 784.61

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Solution

The fourth proportional to 1,447.76, 1,997.91 and 784.61 is: 1,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.76 : 1,997.91 = 784.61 : x
  2. Step 2: Convert to fraction form
    1,447.76/1,997.91 = 784.61/x
  3. Step 3: Cross multiply
    1,447.76x = 1,997.91 × 784.61
  4. Step 4: Simplify right side
    1,447.76x = 1,567,576.20
  5. Step 5: Solve for x
    x = 1,567,576.20/1,447.76
  6. Step 6: Final answer
    x = 1,082.76

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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.