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Finding the Fourth Proportional to 1,013.86, 1,398.48 and 849.04

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Solution

The fourth proportional to 1,013.86, 1,398.48 and 849.04 is: 1,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.86 : 1,398.48 = 849.04 : x
  2. Step 2: Convert to fraction form
    1,013.86/1,398.48 = 849.04/x
  3. Step 3: Cross multiply
    1,013.86x = 1,398.48 × 849.04
  4. Step 4: Simplify right side
    1,013.86x = 1,187,365.46
  5. Step 5: Solve for x
    x = 1,187,365.46/1,013.86
  6. Step 6: Final answer
    x = 1,171.13

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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.