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Finding the Fourth Proportional to 998.38, 1,377.96 and 578.82

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Solution

The fourth proportional to 998.38, 1,377.96 and 578.82 is: 798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.38 : 1,377.96 = 578.82 : x
  2. Step 2: Convert to fraction form
    998.38/1,377.96 = 578.82/x
  3. Step 3: Cross multiply
    998.38x = 1,377.96 × 578.82
  4. Step 4: Simplify right side
    998.38x = 797,587.91
  5. Step 5: Solve for x
    x = 797,587.91/998.38
  6. Step 6: Final answer
    x = 798.89

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1.5x scale

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.