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Finding the Fourth Proportional to 1,061.85, 1,593.23 and 413.04

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Solution

The fourth proportional to 1,061.85, 1,593.23 and 413.04 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.85 : 1,593.23 = 413.04 : x
  2. Step 2: Convert to fraction form
    1,061.85/1,593.23 = 413.04/x
  3. Step 3: Cross multiply
    1,061.85x = 1,593.23 × 413.04
  4. Step 4: Simplify right side
    1,061.85x = 658,067.72
  5. Step 5: Solve for x
    x = 658,067.72/1,061.85
  6. Step 6: Final answer
    x = 619.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.