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Finding the Fourth Proportional to 1,394.91, 1,924.11 and 864.05

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Solution

The fourth proportional to 1,394.91, 1,924.11 and 864.05 is: 1,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.91 : 1,924.11 = 864.05 : x
  2. Step 2: Convert to fraction form
    1,394.91/1,924.11 = 864.05/x
  3. Step 3: Cross multiply
    1,394.91x = 1,924.11 × 864.05
  4. Step 4: Simplify right side
    1,394.91x = 1,662,517.62
  5. Step 5: Solve for x
    x = 1,662,517.62/1,394.91
  6. Step 6: Final answer
    x = 1,191.85

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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.