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Finding the Fourth Proportional to 908.74, 1,255.67 and 713.80

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Solution

The fourth proportional to 908.74, 1,255.67 and 713.80 is: 986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.74 : 1,255.67 = 713.80 : x
  2. Step 2: Convert to fraction form
    908.74/1,255.67 = 713.80/x
  3. Step 3: Cross multiply
    908.74x = 1,255.67 × 713.80
  4. Step 4: Simplify right side
    908.74x = 896,297.25
  5. Step 5: Solve for x
    x = 896,297.25/908.74
  6. Step 6: Final answer
    x = 986.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.