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Finding the Fourth Proportional to 1,230.05, 1,842.11 and 767.25

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Solution

The fourth proportional to 1,230.05, 1,842.11 and 767.25 is: 1,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.05 : 1,842.11 = 767.25 : x
  2. Step 2: Convert to fraction form
    1,230.05/1,842.11 = 767.25/x
  3. Step 3: Cross multiply
    1,230.05x = 1,842.11 × 767.25
  4. Step 4: Simplify right side
    1,230.05x = 1,413,358.90
  5. Step 5: Solve for x
    x = 1,413,358.90/1,230.05
  6. Step 6: Final answer
    x = 1,149.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.