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Finding the Fourth Proportional to 708.89, 972.17 and 679.33

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Solution

The fourth proportional to 708.89, 972.17 and 679.33 is: 931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.89 : 972.17 = 679.33 : x
  2. Step 2: Convert to fraction form
    708.89/972.17 = 679.33/x
  3. Step 3: Cross multiply
    708.89x = 972.17 × 679.33
  4. Step 4: Simplify right side
    708.89x = 660,424.25
  5. Step 5: Solve for x
    x = 660,424.25/708.89
  6. Step 6: Final answer
    x = 931.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.