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Finding the Fourth Proportional to 943.64, 1,413.41 and 577.32

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Solution

The fourth proportional to 943.64, 1,413.41 and 577.32 is: 864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.64 : 1,413.41 = 577.32 : x
  2. Step 2: Convert to fraction form
    943.64/1,413.41 = 577.32/x
  3. Step 3: Cross multiply
    943.64x = 1,413.41 × 577.32
  4. Step 4: Simplify right side
    943.64x = 815,986.97
  5. Step 5: Solve for x
    x = 815,986.97/943.64
  6. Step 6: Final answer
    x = 864.73

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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.