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Finding the Fourth Proportional to 1,144.02, 1,716.21 and 413.77

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Solution

The fourth proportional to 1,144.02, 1,716.21 and 413.77 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.02 : 1,716.21 = 413.77 : x
  2. Step 2: Convert to fraction form
    1,144.02/1,716.21 = 413.77/x
  3. Step 3: Cross multiply
    1,144.02x = 1,716.21 × 413.77
  4. Step 4: Simplify right side
    1,144.02x = 710,116.21
  5. Step 5: Solve for x
    x = 710,116.21/1,144.02
  6. Step 6: Final answer
    x = 620.72

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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.