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Finding the Fourth Proportional to 941.73, 1,413.51 and 577.23

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Solution

The fourth proportional to 941.73, 1,413.51 and 577.23 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.73 : 1,413.51 = 577.23 : x
  2. Step 2: Convert to fraction form
    941.73/1,413.51 = 577.23/x
  3. Step 3: Cross multiply
    941.73x = 1,413.51 × 577.23
  4. Step 4: Simplify right side
    941.73x = 815,920.38
  5. Step 5: Solve for x
    x = 815,920.38/941.73
  6. Step 6: Final answer
    x = 866.41

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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.