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Finding the Fourth Proportional to 794.23, 1,096.41 and 532.42

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Solution

The fourth proportional to 794.23, 1,096.41 and 532.42 is: 734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.23 : 1,096.41 = 532.42 : x
  2. Step 2: Convert to fraction form
    794.23/1,096.41 = 532.42/x
  3. Step 3: Cross multiply
    794.23x = 1,096.41 × 532.42
  4. Step 4: Simplify right side
    794.23x = 583,750.61
  5. Step 5: Solve for x
    x = 583,750.61/794.23
  6. Step 6: Final answer
    x = 734.99

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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.