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Finding the Fourth Proportional to 1,256.12, 1,733.54 and 732.04

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Solution

The fourth proportional to 1,256.12, 1,733.54 and 732.04 is: 1,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.12 : 1,733.54 = 732.04 : x
  2. Step 2: Convert to fraction form
    1,256.12/1,733.54 = 732.04/x
  3. Step 3: Cross multiply
    1,256.12x = 1,733.54 × 732.04
  4. Step 4: Simplify right side
    1,256.12x = 1,269,020.62
  5. Step 5: Solve for x
    x = 1,269,020.62/1,256.12
  6. Step 6: Final answer
    x = 1,010.27

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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.