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Finding the Fourth Proportional to 1,388.58, 2,081.48 and 656.85

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Solution

The fourth proportional to 1,388.58, 2,081.48 and 656.85 is: 984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.58 : 2,081.48 = 656.85 : x
  2. Step 2: Convert to fraction form
    1,388.58/2,081.48 = 656.85/x
  3. Step 3: Cross multiply
    1,388.58x = 2,081.48 × 656.85
  4. Step 4: Simplify right side
    1,388.58x = 1,367,216.85
  5. Step 5: Solve for x
    x = 1,367,216.85/1,388.58
  6. Step 6: Final answer
    x = 984.62

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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.