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Finding the Fourth Proportional to 1,311.92, 1,798.72 and 1,288.52

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Solution

The fourth proportional to 1,311.92, 1,798.72 and 1,288.52 is: 1,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.92 : 1,798.72 = 1,288.52 : x
  2. Step 2: Convert to fraction form
    1,311.92/1,798.72 = 1,288.52/x
  3. Step 3: Cross multiply
    1,311.92x = 1,798.72 × 1,288.52
  4. Step 4: Simplify right side
    1,311.92x = 2,317,686.69
  5. Step 5: Solve for x
    x = 2,317,686.69/1,311.92
  6. Step 6: Final answer
    x = 1,766.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.