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Finding the Fourth Proportional to 1,147.05, 1,581.27 and 847.86

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Solution

The fourth proportional to 1,147.05, 1,581.27 and 847.86 is: 1,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.05 : 1,581.27 = 847.86 : x
  2. Step 2: Convert to fraction form
    1,147.05/1,581.27 = 847.86/x
  3. Step 3: Cross multiply
    1,147.05x = 1,581.27 × 847.86
  4. Step 4: Simplify right side
    1,147.05x = 1,340,695.58
  5. Step 5: Solve for x
    x = 1,340,695.58/1,147.05
  6. Step 6: Final answer
    x = 1,168.82

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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.