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Finding the Fourth Proportional to 1,023.32, 1,409.92 and 854.65

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Solution

The fourth proportional to 1,023.32, 1,409.92 and 854.65 is: 1,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.32 : 1,409.92 = 854.65 : x
  2. Step 2: Convert to fraction form
    1,023.32/1,409.92 = 854.65/x
  3. Step 3: Cross multiply
    1,023.32x = 1,409.92 × 854.65
  4. Step 4: Simplify right side
    1,023.32x = 1,204,992.56
  5. Step 5: Solve for x
    x = 1,204,992.56/1,023.32
  6. Step 6: Final answer
    x = 1,177.54

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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.