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Finding the Fourth Proportional to 722.14, 1,082.37 and 414.14

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Solution

The fourth proportional to 722.14, 1,082.37 and 414.14 is: 620.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.14 : 1,082.37 = 414.14 : x
  2. Step 2: Convert to fraction form
    722.14/1,082.37 = 414.14/x
  3. Step 3: Cross multiply
    722.14x = 1,082.37 × 414.14
  4. Step 4: Simplify right side
    722.14x = 448,252.71
  5. Step 5: Solve for x
    x = 448,252.71/722.14
  6. Step 6: Final answer
    x = 620.73

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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.