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Finding the Fourth Proportional to 942.27, 1,413.24 and 520.23

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Solution

The fourth proportional to 942.27, 1,413.24 and 520.23 is: 780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.27 : 1,413.24 = 520.23 : x
  2. Step 2: Convert to fraction form
    942.27/1,413.24 = 520.23/x
  3. Step 3: Cross multiply
    942.27x = 1,413.24 × 520.23
  4. Step 4: Simplify right side
    942.27x = 735,209.85
  5. Step 5: Solve for x
    x = 735,209.85/942.27
  6. Step 6: Final answer
    x = 780.25

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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.