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Finding the Fourth Proportional to 941.92, 1,413.29 and 509.38

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Solution

The fourth proportional to 941.92, 1,413.29 and 509.38 is: 764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.92 : 1,413.29 = 509.38 : x
  2. Step 2: Convert to fraction form
    941.92/1,413.29 = 509.38/x
  3. Step 3: Cross multiply
    941.92x = 1,413.29 × 509.38
  4. Step 4: Simplify right side
    941.92x = 719,901.66
  5. Step 5: Solve for x
    x = 719,901.66/941.92
  6. Step 6: Final answer
    x = 764.29

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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.