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Finding the Fourth Proportional to 995.31, 1,493.49 and 723.65

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Solution

The fourth proportional to 995.31, 1,493.49 and 723.65 is: 1,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.31 : 1,493.49 = 723.65 : x
  2. Step 2: Convert to fraction form
    995.31/1,493.49 = 723.65/x
  3. Step 3: Cross multiply
    995.31x = 1,493.49 × 723.65
  4. Step 4: Simplify right side
    995.31x = 1,080,764.04
  5. Step 5: Solve for x
    x = 1,080,764.04/995.31
  6. Step 6: Final answer
    x = 1,085.86

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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.