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Finding the Fourth Proportional to 722.72, 1,082.42 and 433.52

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Solution

The fourth proportional to 722.72, 1,082.42 and 433.52 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.72 : 1,082.42 = 433.52 : x
  2. Step 2: Convert to fraction form
    722.72/1,082.42 = 433.52/x
  3. Step 3: Cross multiply
    722.72x = 1,082.42 × 433.52
  4. Step 4: Simplify right side
    722.72x = 469,250.72
  5. Step 5: Solve for x
    x = 469,250.72/722.72
  6. Step 6: Final answer
    x = 649.28

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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.