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Finding the Fourth Proportional to 722.27, 1,082.08 and 644.45

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Solution

The fourth proportional to 722.27, 1,082.08 and 644.45 is: 965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.27 : 1,082.08 = 644.45 : x
  2. Step 2: Convert to fraction form
    722.27/1,082.08 = 644.45/x
  3. Step 3: Cross multiply
    722.27x = 1,082.08 × 644.45
  4. Step 4: Simplify right side
    722.27x = 697,339.43
  5. Step 5: Solve for x
    x = 697,339.43/722.27
  6. Step 6: Final answer
    x = 965.48

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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.