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Finding the Fourth Proportional to 942.91, 1,413.60 and 711.34

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Solution

The fourth proportional to 942.91, 1,413.60 and 711.34 is: 1,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.91 : 1,413.60 = 711.34 : x
  2. Step 2: Convert to fraction form
    942.91/1,413.60 = 711.34/x
  3. Step 3: Cross multiply
    942.91x = 1,413.60 × 711.34
  4. Step 4: Simplify right side
    942.91x = 1,005,550.22
  5. Step 5: Solve for x
    x = 1,005,550.22/942.91
  6. Step 6: Final answer
    x = 1,066.43

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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.