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Finding the Fourth Proportional to 998.25, 1,377.39 and 578.55

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Solution

The fourth proportional to 998.25, 1,377.39 and 578.55 is: 798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.25 : 1,377.39 = 578.55 : x
  2. Step 2: Convert to fraction form
    998.25/1,377.39 = 578.55/x
  3. Step 3: Cross multiply
    998.25x = 1,377.39 × 578.55
  4. Step 4: Simplify right side
    998.25x = 796,888.98
  5. Step 5: Solve for x
    x = 796,888.98/998.25
  6. Step 6: Final answer
    x = 798.29

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Double scale
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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.