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Finding the Fourth Proportional to 722.30, 1,082.45 and 413.50

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Solution

The fourth proportional to 722.30, 1,082.45 and 413.50 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.30 : 1,082.45 = 413.50 : x
  2. Step 2: Convert to fraction form
    722.30/1,082.45 = 413.50/x
  3. Step 3: Cross multiply
    722.30x = 1,082.45 × 413.50
  4. Step 4: Simplify right side
    722.30x = 447,588.30
  5. Step 5: Solve for x
    x = 447,588.30/722.30
  6. Step 6: Final answer
    x = 619.68

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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.