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Finding the Fourth Proportional to 1,118.77, 1,542.95 and 839.66

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Solution

The fourth proportional to 1,118.77, 1,542.95 and 839.66 is: 1,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.77 : 1,542.95 = 839.66 : x
  2. Step 2: Convert to fraction form
    1,118.77/1,542.95 = 839.66/x
  3. Step 3: Cross multiply
    1,118.77x = 1,542.95 × 839.66
  4. Step 4: Simplify right side
    1,118.77x = 1,295,545.68
  5. Step 5: Solve for x
    x = 1,295,545.68/1,118.77
  6. Step 6: Final answer
    x = 1,158.01

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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.