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Finding the Fourth Proportional to 722.61, 1,082.42 and 433.89

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Solution

The fourth proportional to 722.61, 1,082.42 and 433.89 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.61 : 1,082.42 = 433.89 : x
  2. Step 2: Convert to fraction form
    722.61/1,082.42 = 433.89/x
  3. Step 3: Cross multiply
    722.61x = 1,082.42 × 433.89
  4. Step 4: Simplify right side
    722.61x = 469,649.04
  5. Step 5: Solve for x
    x = 469,649.04/722.61
  6. Step 6: Final answer
    x = 649.93

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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.