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Finding the Fourth Proportional to 1,215.60, 1,823.44 and 668.12

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Solution

The fourth proportional to 1,215.60, 1,823.44 and 668.12 is: 1,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.60 : 1,823.44 = 668.12 : x
  2. Step 2: Convert to fraction form
    1,215.60/1,823.44 = 668.12/x
  3. Step 3: Cross multiply
    1,215.60x = 1,823.44 × 668.12
  4. Step 4: Simplify right side
    1,215.60x = 1,218,276.73
  5. Step 5: Solve for x
    x = 1,218,276.73/1,215.60
  6. Step 6: Final answer
    x = 1,002.20

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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.