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Finding the Fourth Proportional to 1,256, 1,732.16 and 813.48

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Solution

The fourth proportional to 1,256, 1,732.16 and 813.48 is: 1,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256 : 1,732.16 = 813.48 : x
  2. Step 2: Convert to fraction form
    1,256/1,732.16 = 813.48/x
  3. Step 3: Cross multiply
    1,256x = 1,732.16 × 813.48
  4. Step 4: Simplify right side
    1,256x = 1,409,077.52
  5. Step 5: Solve for x
    x = 1,409,077.52/1,256
  6. Step 6: Final answer
    x = 1,121.88

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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.