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Finding the Fourth Proportional to 1,062.44, 1,593.64 and 413.63

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Solution

The fourth proportional to 1,062.44, 1,593.64 and 413.63 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.44 : 1,593.64 = 413.63 : x
  2. Step 2: Convert to fraction form
    1,062.44/1,593.64 = 413.63/x
  3. Step 3: Cross multiply
    1,062.44x = 1,593.64 × 413.63
  4. Step 4: Simplify right side
    1,062.44x = 659,177.31
  5. Step 5: Solve for x
    x = 659,177.31/1,062.44
  6. Step 6: Final answer
    x = 620.44

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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.