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Finding the Fourth Proportional to 998.69, 1,378.17 and 578.78

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Solution

The fourth proportional to 998.69, 1,378.17 and 578.78 is: 798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.69 : 1,378.17 = 578.78 : x
  2. Step 2: Convert to fraction form
    998.69/1,378.17 = 578.78/x
  3. Step 3: Cross multiply
    998.69x = 1,378.17 × 578.78
  4. Step 4: Simplify right side
    998.69x = 797,657.23
  5. Step 5: Solve for x
    x = 797,657.23/998.69
  6. Step 6: Final answer
    x = 798.70

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Half scale
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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.