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Finding the Fourth Proportional to 1,256.72, 1,732.49 and 902.54

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Solution

The fourth proportional to 1,256.72, 1,732.49 and 902.54 is: 1,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.72 : 1,732.49 = 902.54 : x
  2. Step 2: Convert to fraction form
    1,256.72/1,732.49 = 902.54/x
  3. Step 3: Cross multiply
    1,256.72x = 1,732.49 × 902.54
  4. Step 4: Simplify right side
    1,256.72x = 1,563,644.73
  5. Step 5: Solve for x
    x = 1,563,644.73/1,256.72
  6. Step 6: Final answer
    x = 1,244.23

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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.