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Finding the Fourth Proportional to 1,044.20, 1,566.81 and 496.23

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Solution

The fourth proportional to 1,044.20, 1,566.81 and 496.23 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.20 : 1,566.81 = 496.23 : x
  2. Step 2: Convert to fraction form
    1,044.20/1,566.81 = 496.23/x
  3. Step 3: Cross multiply
    1,044.20x = 1,566.81 × 496.23
  4. Step 4: Simplify right side
    1,044.20x = 777,498.13
  5. Step 5: Solve for x
    x = 777,498.13/1,044.20
  6. Step 6: Final answer
    x = 744.59

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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.