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Finding the Fourth Proportional to 763, 1,144.26 and 397.59

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Solution

The fourth proportional to 763, 1,144.26 and 397.59 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763 : 1,144.26 = 397.59 : x
  2. Step 2: Convert to fraction form
    763/1,144.26 = 397.59/x
  3. Step 3: Cross multiply
    763x = 1,144.26 × 397.59
  4. Step 4: Simplify right side
    763x = 454,946.33
  5. Step 5: Solve for x
    x = 454,946.33/763
  6. Step 6: Final answer
    x = 596.26

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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.