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Finding the Fourth Proportional to 943.26, 1,413.37 and 596.53

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Solution

The fourth proportional to 943.26, 1,413.37 and 596.53 is: 893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.26 : 1,413.37 = 596.53 : x
  2. Step 2: Convert to fraction form
    943.26/1,413.37 = 596.53/x
  3. Step 3: Cross multiply
    943.26x = 1,413.37 × 596.53
  4. Step 4: Simplify right side
    943.26x = 843,117.61
  5. Step 5: Solve for x
    x = 843,117.61/943.26
  6. Step 6: Final answer
    x = 893.83

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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.