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Finding the Fourth Proportional to 1,144.90, 1,578.78 and 979.66

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Solution

The fourth proportional to 1,144.90, 1,578.78 and 979.66 is: 1,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.90 : 1,578.78 = 979.66 : x
  2. Step 2: Convert to fraction form
    1,144.90/1,578.78 = 979.66/x
  3. Step 3: Cross multiply
    1,144.90x = 1,578.78 × 979.66
  4. Step 4: Simplify right side
    1,144.90x = 1,546,663.67
  5. Step 5: Solve for x
    x = 1,546,663.67/1,144.90
  6. Step 6: Final answer
    x = 1,350.92

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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.