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Finding the Fourth Proportional to 998.62, 1,378.10 and 579.22

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Solution

The fourth proportional to 998.62, 1,378.10 and 579.22 is: 799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.62 : 1,378.10 = 579.22 : x
  2. Step 2: Convert to fraction form
    998.62/1,378.10 = 579.22/x
  3. Step 3: Cross multiply
    998.62x = 1,378.10 × 579.22
  4. Step 4: Simplify right side
    998.62x = 798,215.45
  5. Step 5: Solve for x
    x = 798,215.45/998.62
  6. Step 6: Final answer
    x = 799.32

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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.