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Finding the Fourth Proportional to 722.59, 1,082.05 and 413.90

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Solution

The fourth proportional to 722.59, 1,082.05 and 413.90 is: 619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.59 : 1,082.05 = 413.90 : x
  2. Step 2: Convert to fraction form
    722.59/1,082.05 = 413.90/x
  3. Step 3: Cross multiply
    722.59x = 1,082.05 × 413.90
  4. Step 4: Simplify right side
    722.59x = 447,860.50
  5. Step 5: Solve for x
    x = 447,860.50/722.59
  6. Step 6: Final answer
    x = 619.80

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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.