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Finding the Fourth Proportional to 1,000.44, 1,382.12 and 668.74

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Solution

The fourth proportional to 1,000.44, 1,382.12 and 668.74 is: 923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.44 : 1,382.12 = 668.74 : x
  2. Step 2: Convert to fraction form
    1,000.44/1,382.12 = 668.74/x
  3. Step 3: Cross multiply
    1,000.44x = 1,382.12 × 668.74
  4. Step 4: Simplify right side
    1,000.44x = 924,278.93
  5. Step 5: Solve for x
    x = 924,278.93/1,000.44
  6. Step 6: Final answer
    x = 923.87

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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.