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Finding the Fourth Proportional to 794.57, 1,096.16 and 532.67

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Solution

The fourth proportional to 794.57, 1,096.16 and 532.67 is: 734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.57 : 1,096.16 = 532.67 : x
  2. Step 2: Convert to fraction form
    794.57/1,096.16 = 532.67/x
  3. Step 3: Cross multiply
    794.57x = 1,096.16 × 532.67
  4. Step 4: Simplify right side
    794.57x = 583,883.40
  5. Step 5: Solve for x
    x = 583,883.40/794.57
  6. Step 6: Final answer
    x = 734.85

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