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Finding the Fourth Proportional to 942.18, 1,413.03 and 394.37

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Solution

The fourth proportional to 942.18, 1,413.03 and 394.37 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.18 : 1,413.03 = 394.37 : x
  2. Step 2: Convert to fraction form
    942.18/1,413.03 = 394.37/x
  3. Step 3: Cross multiply
    942.18x = 1,413.03 × 394.37
  4. Step 4: Simplify right side
    942.18x = 557,249.58
  5. Step 5: Solve for x
    x = 557,249.58/942.18
  6. Step 6: Final answer
    x = 591.45

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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.