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Finding the Fourth Proportional to 1,162.74, 1,603.62 and 789.11

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Solution

The fourth proportional to 1,162.74, 1,603.62 and 789.11 is: 1,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.74 : 1,603.62 = 789.11 : x
  2. Step 2: Convert to fraction form
    1,162.74/1,603.62 = 789.11/x
  3. Step 3: Cross multiply
    1,162.74x = 1,603.62 × 789.11
  4. Step 4: Simplify right side
    1,162.74x = 1,265,424.56
  5. Step 5: Solve for x
    x = 1,265,424.56/1,162.74
  6. Step 6: Final answer
    x = 1,088.31

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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.