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Finding the Fourth Proportional to 1,027.24, 1,415.13 and 849.46

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Solution

The fourth proportional to 1,027.24, 1,415.13 and 849.46 is: 1,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.24 : 1,415.13 = 849.46 : x
  2. Step 2: Convert to fraction form
    1,027.24/1,415.13 = 849.46/x
  3. Step 3: Cross multiply
    1,027.24x = 1,415.13 × 849.46
  4. Step 4: Simplify right side
    1,027.24x = 1,202,096.33
  5. Step 5: Solve for x
    x = 1,202,096.33/1,027.24
  6. Step 6: Final answer
    x = 1,170.22

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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.