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Finding the Fourth Proportional to 1,223.28, 1,687.95 and 725.94

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Solution

The fourth proportional to 1,223.28, 1,687.95 and 725.94 is: 1,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.28 : 1,687.95 = 725.94 : x
  2. Step 2: Convert to fraction form
    1,223.28/1,687.95 = 725.94/x
  3. Step 3: Cross multiply
    1,223.28x = 1,687.95 × 725.94
  4. Step 4: Simplify right side
    1,223.28x = 1,225,350.42
  5. Step 5: Solve for x
    x = 1,225,350.42/1,223.28
  6. Step 6: Final answer
    x = 1,001.69

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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.