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Finding the Fourth Proportional to 1,147.87, 1,581.78 and 797.95

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Solution

The fourth proportional to 1,147.87, 1,581.78 and 797.95 is: 1,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.87 : 1,581.78 = 797.95 : x
  2. Step 2: Convert to fraction form
    1,147.87/1,581.78 = 797.95/x
  3. Step 3: Cross multiply
    1,147.87x = 1,581.78 × 797.95
  4. Step 4: Simplify right side
    1,147.87x = 1,262,181.83
  5. Step 5: Solve for x
    x = 1,262,181.83/1,147.87
  6. Step 6: Final answer
    x = 1,099.58

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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.