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Finding the Fourth Proportional to 1,077.46, 1,486.29 and 727.54

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Solution

The fourth proportional to 1,077.46, 1,486.29 and 727.54 is: 1,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.46 : 1,486.29 = 727.54 : x
  2. Step 2: Convert to fraction form
    1,077.46/1,486.29 = 727.54/x
  3. Step 3: Cross multiply
    1,077.46x = 1,486.29 × 727.54
  4. Step 4: Simplify right side
    1,077.46x = 1,081,335.43
  5. Step 5: Solve for x
    x = 1,081,335.43/1,077.46
  6. Step 6: Final answer
    x = 1,003.60

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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.