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Finding the Fourth Proportional to 1,509.33, 2,263.78 and 413.76

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Solution

The fourth proportional to 1,509.33, 2,263.78 and 413.76 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.33 : 2,263.78 = 413.76 : x
  2. Step 2: Convert to fraction form
    1,509.33/2,263.78 = 413.76/x
  3. Step 3: Cross multiply
    1,509.33x = 2,263.78 × 413.76
  4. Step 4: Simplify right side
    1,509.33x = 936,661.61
  5. Step 5: Solve for x
    x = 936,661.61/1,509.33
  6. Step 6: Final answer
    x = 620.58

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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.