Home / 1,029.16-1,418.68-849.96

Finding the Fourth Proportional to 1,029.16, 1,418.68 and 849.96

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Solution

The fourth proportional to 1,029.16, 1,418.68 and 849.96 is: 1,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.16 : 1,418.68 = 849.96 : x
  2. Step 2: Convert to fraction form
    1,029.16/1,418.68 = 849.96/x
  3. Step 3: Cross multiply
    1,029.16x = 1,418.68 × 849.96
  4. Step 4: Simplify right side
    1,029.16x = 1,205,821.25
  5. Step 5: Solve for x
    x = 1,205,821.25/1,029.16
  6. Step 6: Final answer
    x = 1,171.66

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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.