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Finding the Fourth Proportional to 1,044.49, 1,565.92 and 611.14

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Solution

The fourth proportional to 1,044.49, 1,565.92 and 611.14 is: 916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.49 : 1,565.92 = 611.14 : x
  2. Step 2: Convert to fraction form
    1,044.49/1,565.92 = 611.14/x
  3. Step 3: Cross multiply
    1,044.49x = 1,565.92 × 611.14
  4. Step 4: Simplify right side
    1,044.49x = 956,996.35
  5. Step 5: Solve for x
    x = 956,996.35/1,044.49
  6. Step 6: Final answer
    x = 916.23

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Why These Related Problems?

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