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Finding the Fourth Proportional to 1,509.48, 2,263.96 and 413.92

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Solution

The fourth proportional to 1,509.48, 2,263.96 and 413.92 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.48 : 2,263.96 = 413.92 : x
  2. Step 2: Convert to fraction form
    1,509.48/2,263.96 = 413.92/x
  3. Step 3: Cross multiply
    1,509.48x = 2,263.96 × 413.92
  4. Step 4: Simplify right side
    1,509.48x = 937,098.32
  5. Step 5: Solve for x
    x = 937,098.32/1,509.48
  6. Step 6: Final answer
    x = 620.81

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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.