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Finding the Fourth Proportional to 1,063.13, 1,594.24 and 413.41

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Solution

The fourth proportional to 1,063.13, 1,594.24 and 413.41 is: 619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.13 : 1,594.24 = 413.41 : x
  2. Step 2: Convert to fraction form
    1,063.13/1,594.24 = 413.41/x
  3. Step 3: Cross multiply
    1,063.13x = 1,594.24 × 413.41
  4. Step 4: Simplify right side
    1,063.13x = 659,074.76
  5. Step 5: Solve for x
    x = 659,074.76/1,063.13
  6. Step 6: Final answer
    x = 619.94

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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.