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Finding the Fourth Proportional to 1,223.28, 1,687.50 and 725.72

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Solution

The fourth proportional to 1,223.28, 1,687.50 and 725.72 is: 1,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.28 : 1,687.50 = 725.72 : x
  2. Step 2: Convert to fraction form
    1,223.28/1,687.50 = 725.72/x
  3. Step 3: Cross multiply
    1,223.28x = 1,687.50 × 725.72
  4. Step 4: Simplify right side
    1,223.28x = 1,224,644.06
  5. Step 5: Solve for x
    x = 1,224,644.06/1,223.28
  6. Step 6: Final answer
    x = 1,001.12

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