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Finding the Fourth Proportional to 995.36, 1,493.69 and 379.07

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Solution

The fourth proportional to 995.36, 1,493.69 and 379.07 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.36 : 1,493.69 = 379.07 : x
  2. Step 2: Convert to fraction form
    995.36/1,493.69 = 379.07/x
  3. Step 3: Cross multiply
    995.36x = 1,493.69 × 379.07
  4. Step 4: Simplify right side
    995.36x = 566,207.91
  5. Step 5: Solve for x
    x = 566,207.91/995.36
  6. Step 6: Final answer
    x = 568.85

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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.