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Finding the Fourth Proportional to 1,016.35, 1,523.44 and 726.91

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Solution

The fourth proportional to 1,016.35, 1,523.44 and 726.91 is: 1,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.35 : 1,523.44 = 726.91 : x
  2. Step 2: Convert to fraction form
    1,016.35/1,523.44 = 726.91/x
  3. Step 3: Cross multiply
    1,016.35x = 1,523.44 × 726.91
  4. Step 4: Simplify right side
    1,016.35x = 1,107,403.77
  5. Step 5: Solve for x
    x = 1,107,403.77/1,016.35
  6. Step 6: Final answer
    x = 1,089.59

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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.