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Finding the Fourth Proportional to 1,044.18, 1,563.84 and 678.47

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Solution

The fourth proportional to 1,044.18, 1,563.84 and 678.47 is: 1,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.18 : 1,563.84 = 678.47 : x
  2. Step 2: Convert to fraction form
    1,044.18/1,563.84 = 678.47/x
  3. Step 3: Cross multiply
    1,044.18x = 1,563.84 × 678.47
  4. Step 4: Simplify right side
    1,044.18x = 1,061,010.71
  5. Step 5: Solve for x
    x = 1,061,010.71/1,044.18
  6. Step 6: Final answer
    x = 1,016.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.