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Finding the Fourth Proportional to 1,039.15, 1,435.76 and 819.78

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Solution

The fourth proportional to 1,039.15, 1,435.76 and 819.78 is: 1,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.15 : 1,435.76 = 819.78 : x
  2. Step 2: Convert to fraction form
    1,039.15/1,435.76 = 819.78/x
  3. Step 3: Cross multiply
    1,039.15x = 1,435.76 × 819.78
  4. Step 4: Simplify right side
    1,039.15x = 1,177,007.33
  5. Step 5: Solve for x
    x = 1,177,007.33/1,039.15
  6. Step 6: Final answer
    x = 1,132.66

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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.