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Finding the Fourth Proportional to 794.52, 1,190.97 and 724.46

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Solution

The fourth proportional to 794.52, 1,190.97 and 724.46 is: 1,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.52 : 1,190.97 = 724.46 : x
  2. Step 2: Convert to fraction form
    794.52/1,190.97 = 724.46/x
  3. Step 3: Cross multiply
    794.52x = 1,190.97 × 724.46
  4. Step 4: Simplify right side
    794.52x = 862,804.17
  5. Step 5: Solve for x
    x = 862,804.17/794.52
  6. Step 6: Final answer
    x = 1,085.94

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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.