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Finding the Fourth Proportional to 722.42, 1,082.19 and 375.98

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Solution

The fourth proportional to 722.42, 1,082.19 and 375.98 is: 563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.42 : 1,082.19 = 375.98 : x
  2. Step 2: Convert to fraction form
    722.42/1,082.19 = 375.98/x
  3. Step 3: Cross multiply
    722.42x = 1,082.19 × 375.98
  4. Step 4: Simplify right side
    722.42x = 406,876.39
  5. Step 5: Solve for x
    x = 406,876.39/722.42
  6. Step 6: Final answer
    x = 563.22

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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.