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Finding the Fourth Proportional to 708.25, 1,062.44 and 195.25

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Solution

The fourth proportional to 708.25, 1,062.44 and 195.25 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 1,062.44 = 195.25 : x
  2. Step 2: Convert to fraction form
    708.25/1,062.44 = 195.25/x
  3. Step 3: Cross multiply
    708.25x = 1,062.44 × 195.25
  4. Step 4: Simplify right side
    708.25x = 207,441.41
  5. Step 5: Solve for x
    x = 207,441.41/708.25
  6. Step 6: Final answer
    x = 292.89

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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.