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Finding the Fourth Proportional to 722.52, 1,082.43 and 613.98

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Solution

The fourth proportional to 722.52, 1,082.43 and 613.98 is: 919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 1,082.43 = 613.98 : x
  2. Step 2: Convert to fraction form
    722.52/1,082.43 = 613.98/x
  3. Step 3: Cross multiply
    722.52x = 1,082.43 × 613.98
  4. Step 4: Simplify right side
    722.52x = 664,590.37
  5. Step 5: Solve for x
    x = 664,590.37/722.52
  6. Step 6: Final answer
    x = 919.82

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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.