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Finding the Fourth Proportional to 1,421.33, 1,960.85 and 861.84

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Solution

The fourth proportional to 1,421.33, 1,960.85 and 861.84 is: 1,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.33 : 1,960.85 = 861.84 : x
  2. Step 2: Convert to fraction form
    1,421.33/1,960.85 = 861.84/x
  3. Step 3: Cross multiply
    1,421.33x = 1,960.85 × 861.84
  4. Step 4: Simplify right side
    1,421.33x = 1,689,934.65
  5. Step 5: Solve for x
    x = 1,689,934.65/1,421.33
  6. Step 6: Final answer
    x = 1,188.99

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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.