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Finding the Fourth Proportional to 939.83, 1,403.97 and 677.58

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Solution

The fourth proportional to 939.83, 1,403.97 and 677.58 is: 1,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.83 : 1,403.97 = 677.58 : x
  2. Step 2: Convert to fraction form
    939.83/1,403.97 = 677.58/x
  3. Step 3: Cross multiply
    939.83x = 1,403.97 × 677.58
  4. Step 4: Simplify right side
    939.83x = 951,301.99
  5. Step 5: Solve for x
    x = 951,301.99/939.83
  6. Step 6: Final answer
    x = 1,012.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.