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Finding the Fourth Proportional to 1,351.26, 1,864.65 and 761.79

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Solution

The fourth proportional to 1,351.26, 1,864.65 and 761.79 is: 1,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.26 : 1,864.65 = 761.79 : x
  2. Step 2: Convert to fraction form
    1,351.26/1,864.65 = 761.79/x
  3. Step 3: Cross multiply
    1,351.26x = 1,864.65 × 761.79
  4. Step 4: Simplify right side
    1,351.26x = 1,420,471.72
  5. Step 5: Solve for x
    x = 1,420,471.72/1,351.26
  6. Step 6: Final answer
    x = 1,051.22

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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.