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Finding the Fourth Proportional to 1,421.32, 1,960.82 and 861.88

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Solution

The fourth proportional to 1,421.32, 1,960.82 and 861.88 is: 1,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.32 : 1,960.82 = 861.88 : x
  2. Step 2: Convert to fraction form
    1,421.32/1,960.82 = 861.88/x
  3. Step 3: Cross multiply
    1,421.32x = 1,960.82 × 861.88
  4. Step 4: Simplify right side
    1,421.32x = 1,689,991.54
  5. Step 5: Solve for x
    x = 1,689,991.54/1,421.32
  6. Step 6: Final answer
    x = 1,189.03

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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.