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Finding the Fourth Proportional to 1,194.82, 1,642.89 and 1,019.86

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Solution

The fourth proportional to 1,194.82, 1,642.89 and 1,019.86 is: 1,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.82 : 1,642.89 = 1,019.86 : x
  2. Step 2: Convert to fraction form
    1,194.82/1,642.89 = 1,019.86/x
  3. Step 3: Cross multiply
    1,194.82x = 1,642.89 × 1,019.86
  4. Step 4: Simplify right side
    1,194.82x = 1,675,517.80
  5. Step 5: Solve for x
    x = 1,675,517.80/1,194.82
  6. Step 6: Final answer
    x = 1,402.32

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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.