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Finding the Fourth Proportional to 734.80, 1,102.20 and 446.17

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Solution

The fourth proportional to 734.80, 1,102.20 and 446.17 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.80 : 1,102.20 = 446.17 : x
  2. Step 2: Convert to fraction form
    734.80/1,102.20 = 446.17/x
  3. Step 3: Cross multiply
    734.80x = 1,102.20 × 446.17
  4. Step 4: Simplify right side
    734.80x = 491,768.57
  5. Step 5: Solve for x
    x = 491,768.57/734.80
  6. Step 6: Final answer
    x = 669.26

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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.