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Finding the Fourth Proportional to 722.18, 1,082.16 and 413.24

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Solution

The fourth proportional to 722.18, 1,082.16 and 413.24 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.18 : 1,082.16 = 413.24 : x
  2. Step 2: Convert to fraction form
    722.18/1,082.16 = 413.24/x
  3. Step 3: Cross multiply
    722.18x = 1,082.16 × 413.24
  4. Step 4: Simplify right side
    722.18x = 447,186.39
  5. Step 5: Solve for x
    x = 447,186.39/722.18
  6. Step 6: Final answer
    x = 619.22

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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.