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Finding the Fourth Proportional to 942.72, 1,413.36 and 600

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Solution

The fourth proportional to 942.72, 1,413.36 and 600 is: 899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.72 : 1,413.36 = 600 : x
  2. Step 2: Convert to fraction form
    942.72/1,413.36 = 600/x
  3. Step 3: Cross multiply
    942.72x = 1,413.36 × 600
  4. Step 4: Simplify right side
    942.72x = 848,016.00
  5. Step 5: Solve for x
    x = 848,016.00/942.72
  6. Step 6: Final answer
    x = 899.54

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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.