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Finding the Fourth Proportional to 1,044.18, 1,441.89 and 765.99

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Solution

The fourth proportional to 1,044.18, 1,441.89 and 765.99 is: 1,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.18 : 1,441.89 = 765.99 : x
  2. Step 2: Convert to fraction form
    1,044.18/1,441.89 = 765.99/x
  3. Step 3: Cross multiply
    1,044.18x = 1,441.89 × 765.99
  4. Step 4: Simplify right side
    1,044.18x = 1,104,473.32
  5. Step 5: Solve for x
    x = 1,104,473.32/1,044.18
  6. Step 6: Final answer
    x = 1,057.74

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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.