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Finding the Fourth Proportional to 1,144.15, 1,715.47 and 413.63

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Solution

The fourth proportional to 1,144.15, 1,715.47 and 413.63 is: 620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.15 : 1,715.47 = 413.63 : x
  2. Step 2: Convert to fraction form
    1,144.15/1,715.47 = 413.63/x
  3. Step 3: Cross multiply
    1,144.15x = 1,715.47 × 413.63
  4. Step 4: Simplify right side
    1,144.15x = 709,570.92
  5. Step 5: Solve for x
    x = 709,570.92/1,144.15
  6. Step 6: Final answer
    x = 620.17

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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.