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Finding the Fourth Proportional to 995.12, 1,492.97 and 401.83

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Solution

The fourth proportional to 995.12, 1,492.97 and 401.83 is: 602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.12 : 1,492.97 = 401.83 : x
  2. Step 2: Convert to fraction form
    995.12/1,492.97 = 401.83/x
  3. Step 3: Cross multiply
    995.12x = 1,492.97 × 401.83
  4. Step 4: Simplify right side
    995.12x = 599,921.64
  5. Step 5: Solve for x
    x = 599,921.64/995.12
  6. Step 6: Final answer
    x = 602.87

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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.