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Finding the Fourth Proportional to 1,027.03, 1,540 and 449.77

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Solution

The fourth proportional to 1,027.03, 1,540 and 449.77 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.03 : 1,540 = 449.77 : x
  2. Step 2: Convert to fraction form
    1,027.03/1,540 = 449.77/x
  3. Step 3: Cross multiply
    1,027.03x = 1,540 × 449.77
  4. Step 4: Simplify right side
    1,027.03x = 692,645.80
  5. Step 5: Solve for x
    x = 692,645.80/1,027.03
  6. Step 6: Final answer
    x = 674.42

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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.