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Finding the Fourth Proportional to 1,223.54, 1,687.79 and 726.09

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Solution

The fourth proportional to 1,223.54, 1,687.79 and 726.09 is: 1,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.54 : 1,687.79 = 726.09 : x
  2. Step 2: Convert to fraction form
    1,223.54/1,687.79 = 726.09/x
  3. Step 3: Cross multiply
    1,223.54x = 1,687.79 × 726.09
  4. Step 4: Simplify right side
    1,223.54x = 1,225,483.81
  5. Step 5: Solve for x
    x = 1,225,483.81/1,223.54
  6. Step 6: Final answer
    x = 1,001.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.