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Finding the Fourth Proportional to 942.11, 1,413.17 and 428.75

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Solution

The fourth proportional to 942.11, 1,413.17 and 428.75 is: 643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.11 : 1,413.17 = 428.75 : x
  2. Step 2: Convert to fraction form
    942.11/1,413.17 = 428.75/x
  3. Step 3: Cross multiply
    942.11x = 1,413.17 × 428.75
  4. Step 4: Simplify right side
    942.11x = 605,896.64
  5. Step 5: Solve for x
    x = 605,896.64/942.11
  6. Step 6: Final answer
    x = 643.13

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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.