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Finding the Fourth Proportional to 941.69, 1,413.38 and 503.31

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Solution

The fourth proportional to 941.69, 1,413.38 and 503.31 is: 755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.69 : 1,413.38 = 503.31 : x
  2. Step 2: Convert to fraction form
    941.69/1,413.38 = 503.31/x
  3. Step 3: Cross multiply
    941.69x = 1,413.38 × 503.31
  4. Step 4: Simplify right side
    941.69x = 711,369.55
  5. Step 5: Solve for x
    x = 711,369.55/941.69
  6. Step 6: Final answer
    x = 755.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.