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Finding the Fourth Proportional to 1,078.62, 1,486.50 and 842.20

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Solution

The fourth proportional to 1,078.62, 1,486.50 and 842.20 is: 1,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.62 : 1,486.50 = 842.20 : x
  2. Step 2: Convert to fraction form
    1,078.62/1,486.50 = 842.20/x
  3. Step 3: Cross multiply
    1,078.62x = 1,486.50 × 842.20
  4. Step 4: Simplify right side
    1,078.62x = 1,251,928.16
  5. Step 5: Solve for x
    x = 1,251,928.16/1,078.62
  6. Step 6: Final answer
    x = 1,160.68

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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.