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Finding the Fourth Proportional to 943.41, 1,413.12 and 596.57

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Solution

The fourth proportional to 943.41, 1,413.12 and 596.57 is: 893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.41 : 1,413.12 = 596.57 : x
  2. Step 2: Convert to fraction form
    943.41/1,413.12 = 596.57/x
  3. Step 3: Cross multiply
    943.41x = 1,413.12 × 596.57
  4. Step 4: Simplify right side
    943.41x = 843,016.81
  5. Step 5: Solve for x
    x = 843,016.81/943.41
  6. Step 6: Final answer
    x = 893.59

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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.