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Finding the Fourth Proportional to 1,044.51, 1,569.26 and 611.97

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Solution

The fourth proportional to 1,044.51, 1,569.26 and 611.97 is: 919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.51 : 1,569.26 = 611.97 : x
  2. Step 2: Convert to fraction form
    1,044.51/1,569.26 = 611.97/x
  3. Step 3: Cross multiply
    1,044.51x = 1,569.26 × 611.97
  4. Step 4: Simplify right side
    1,044.51x = 960,336.98
  5. Step 5: Solve for x
    x = 960,336.98/1,044.51
  6. Step 6: Final answer
    x = 919.41

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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.