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Finding the Fourth Proportional to 1,027.10, 1,540.92 and 296.66

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Solution

The fourth proportional to 1,027.10, 1,540.92 and 296.66 is: 445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,540.92 = 296.66 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,540.92 = 296.66/x
  3. Step 3: Cross multiply
    1,027.10x = 1,540.92 × 296.66
  4. Step 4: Simplify right side
    1,027.10x = 457,129.33
  5. Step 5: Solve for x
    x = 457,129.33/1,027.10
  6. Step 6: Final answer
    x = 445.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.