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Finding the Fourth Proportional to 1,049.96, 1,449.02 and 677.03

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Solution

The fourth proportional to 1,049.96, 1,449.02 and 677.03 is: 934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.96 : 1,449.02 = 677.03 : x
  2. Step 2: Convert to fraction form
    1,049.96/1,449.02 = 677.03/x
  3. Step 3: Cross multiply
    1,049.96x = 1,449.02 × 677.03
  4. Step 4: Simplify right side
    1,049.96x = 981,024.46
  5. Step 5: Solve for x
    x = 981,024.46/1,049.96
  6. Step 6: Final answer
    x = 934.34

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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.