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Finding the Fourth Proportional to 998.17, 1,494.12 and 646.30

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Solution

The fourth proportional to 998.17, 1,494.12 and 646.30 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.17 : 1,494.12 = 646.30 : x
  2. Step 2: Convert to fraction form
    998.17/1,494.12 = 646.30/x
  3. Step 3: Cross multiply
    998.17x = 1,494.12 × 646.30
  4. Step 4: Simplify right side
    998.17x = 965,649.76
  5. Step 5: Solve for x
    x = 965,649.76/998.17
  6. Step 6: Final answer
    x = 967.42

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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.