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Finding the Fourth Proportional to 998.20, 1,496.43 and 477.94

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Solution

The fourth proportional to 998.20, 1,496.43 and 477.94 is: 716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.20 : 1,496.43 = 477.94 : x
  2. Step 2: Convert to fraction form
    998.20/1,496.43 = 477.94/x
  3. Step 3: Cross multiply
    998.20x = 1,496.43 × 477.94
  4. Step 4: Simplify right side
    998.20x = 715,203.75
  5. Step 5: Solve for x
    x = 715,203.75/998.20
  6. Step 6: Final answer
    x = 716.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.