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Finding the Fourth Proportional to 1,014.38, 1,398.57 and 827.68

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Solution

The fourth proportional to 1,014.38, 1,398.57 and 827.68 is: 1,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.38 : 1,398.57 = 827.68 : x
  2. Step 2: Convert to fraction form
    1,014.38/1,398.57 = 827.68/x
  3. Step 3: Cross multiply
    1,014.38x = 1,398.57 × 827.68
  4. Step 4: Simplify right side
    1,014.38x = 1,157,568.42
  5. Step 5: Solve for x
    x = 1,157,568.42/1,014.38
  6. Step 6: Final answer
    x = 1,141.16

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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.