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Finding the Fourth Proportional to 1,351.32, 1,864.66 and 761.96

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Solution

The fourth proportional to 1,351.32, 1,864.66 and 761.96 is: 1,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.32 : 1,864.66 = 761.96 : x
  2. Step 2: Convert to fraction form
    1,351.32/1,864.66 = 761.96/x
  3. Step 3: Cross multiply
    1,351.32x = 1,864.66 × 761.96
  4. Step 4: Simplify right side
    1,351.32x = 1,420,796.33
  5. Step 5: Solve for x
    x = 1,420,796.33/1,351.32
  6. Step 6: Final answer
    x = 1,051.41

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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.