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Finding the Fourth Proportional to 995.43, 1,493.45 and 830.12

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Solution

The fourth proportional to 995.43, 1,493.45 and 830.12 is: 1,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.43 : 1,493.45 = 830.12 : x
  2. Step 2: Convert to fraction form
    995.43/1,493.45 = 830.12/x
  3. Step 3: Cross multiply
    995.43x = 1,493.45 × 830.12
  4. Step 4: Simplify right side
    995.43x = 1,239,742.71
  5. Step 5: Solve for x
    x = 1,239,742.71/995.43
  6. Step 6: Final answer
    x = 1,245.43

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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.