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Finding the Fourth Proportional to 1,256.46, 1,734.06 and 732.49

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Solution

The fourth proportional to 1,256.46, 1,734.06 and 732.49 is: 1,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.46 : 1,734.06 = 732.49 : x
  2. Step 2: Convert to fraction form
    1,256.46/1,734.06 = 732.49/x
  3. Step 3: Cross multiply
    1,256.46x = 1,734.06 × 732.49
  4. Step 4: Simplify right side
    1,256.46x = 1,270,181.61
  5. Step 5: Solve for x
    x = 1,270,181.61/1,256.46
  6. Step 6: Final answer
    x = 1,010.92

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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.