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Finding the Fourth Proportional to 1,351.10, 1,864.05 and 761.65

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Solution

The fourth proportional to 1,351.10, 1,864.05 and 761.65 is: 1,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.10 : 1,864.05 = 761.65 : x
  2. Step 2: Convert to fraction form
    1,351.10/1,864.05 = 761.65/x
  3. Step 3: Cross multiply
    1,351.10x = 1,864.05 × 761.65
  4. Step 4: Simplify right side
    1,351.10x = 1,419,753.68
  5. Step 5: Solve for x
    x = 1,419,753.68/1,351.10
  6. Step 6: Final answer
    x = 1,050.81

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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.