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Finding the Fourth Proportional to 995.66, 1,491.17 and 961.05

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Solution

The fourth proportional to 995.66, 1,491.17 and 961.05 is: 1,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.66 : 1,491.17 = 961.05 : x
  2. Step 2: Convert to fraction form
    995.66/1,491.17 = 961.05/x
  3. Step 3: Cross multiply
    995.66x = 1,491.17 × 961.05
  4. Step 4: Simplify right side
    995.66x = 1,433,084.12
  5. Step 5: Solve for x
    x = 1,433,084.12/995.66
  6. Step 6: Final answer
    x = 1,439.34

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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.