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Finding the Fourth Proportional to 1,043.15, 1,441.28 and 823.78

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Solution

The fourth proportional to 1,043.15, 1,441.28 and 823.78 is: 1,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.15 : 1,441.28 = 823.78 : x
  2. Step 2: Convert to fraction form
    1,043.15/1,441.28 = 823.78/x
  3. Step 3: Cross multiply
    1,043.15x = 1,441.28 × 823.78
  4. Step 4: Simplify right side
    1,043.15x = 1,187,297.64
  5. Step 5: Solve for x
    x = 1,187,297.64/1,043.15
  6. Step 6: Final answer
    x = 1,138.18

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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.