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Finding the Fourth Proportional to 1,063.14, 1,593.49 and 413.31

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Solution

The fourth proportional to 1,063.14, 1,593.49 and 413.31 is: 619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.14 : 1,593.49 = 413.31 : x
  2. Step 2: Convert to fraction form
    1,063.14/1,593.49 = 413.31/x
  3. Step 3: Cross multiply
    1,063.14x = 1,593.49 × 413.31
  4. Step 4: Simplify right side
    1,063.14x = 658,605.35
  5. Step 5: Solve for x
    x = 658,605.35/1,063.14
  6. Step 6: Final answer
    x = 619.49

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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.