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Finding the Fourth Proportional to 1,223.00, 1,687.94 and 725.66

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Solution

The fourth proportional to 1,223.00, 1,687.94 and 725.66 is: 1,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.00 : 1,687.94 = 725.66 : x
  2. Step 2: Convert to fraction form
    1,223.00/1,687.94 = 725.66/x
  3. Step 3: Cross multiply
    1,223.00x = 1,687.94 × 725.66
  4. Step 4: Simplify right side
    1,223.00x = 1,224,867.52
  5. Step 5: Solve for x
    x = 1,224,867.52/1,223.00
  6. Step 6: Final answer
    x = 1,001.53

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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.