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Finding the Fourth Proportional to 1,144.31, 1,716.46 and 413.71

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Solution

The fourth proportional to 1,144.31, 1,716.46 and 413.71 is: 620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.31 : 1,716.46 = 413.71 : x
  2. Step 2: Convert to fraction form
    1,144.31/1,716.46 = 413.71/x
  3. Step 3: Cross multiply
    1,144.31x = 1,716.46 × 413.71
  4. Step 4: Simplify right side
    1,144.31x = 710,115.63
  5. Step 5: Solve for x
    x = 710,115.63/1,144.31
  6. Step 6: Final answer
    x = 620.56

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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.