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Finding the Fourth Proportional to 1,029.86, 1,544.78 and 413.56

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Solution

The fourth proportional to 1,029.86, 1,544.78 and 413.56 is: 620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.86 : 1,544.78 = 413.56 : x
  2. Step 2: Convert to fraction form
    1,029.86/1,544.78 = 413.56/x
  3. Step 3: Cross multiply
    1,029.86x = 1,544.78 × 413.56
  4. Step 4: Simplify right side
    1,029.86x = 638,851.49
  5. Step 5: Solve for x
    x = 638,851.49/1,029.86
  6. Step 6: Final answer
    x = 620.33

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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.