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Finding the Fourth Proportional to 1,188.45, 1,778.31 and 842.13

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Solution

The fourth proportional to 1,188.45, 1,778.31 and 842.13 is: 1,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.45 : 1,778.31 = 842.13 : x
  2. Step 2: Convert to fraction form
    1,188.45/1,778.31 = 842.13/x
  3. Step 3: Cross multiply
    1,188.45x = 1,778.31 × 842.13
  4. Step 4: Simplify right side
    1,188.45x = 1,497,568.20
  5. Step 5: Solve for x
    x = 1,497,568.20/1,188.45
  6. Step 6: Final answer
    x = 1,260.10

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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.