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Finding the Fourth Proportional to 1,443.79, 1,992.38 and 854.31

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Solution

The fourth proportional to 1,443.79, 1,992.38 and 854.31 is: 1,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.79 : 1,992.38 = 854.31 : x
  2. Step 2: Convert to fraction form
    1,443.79/1,992.38 = 854.31/x
  3. Step 3: Cross multiply
    1,443.79x = 1,992.38 × 854.31
  4. Step 4: Simplify right side
    1,443.79x = 1,702,110.16
  5. Step 5: Solve for x
    x = 1,702,110.16/1,443.79
  6. Step 6: Final answer
    x = 1,178.92

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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.