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Finding the Fourth Proportional to 942.32, 1,413.96 and 712.61

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Solution

The fourth proportional to 942.32, 1,413.96 and 712.61 is: 1,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.32 : 1,413.96 = 712.61 : x
  2. Step 2: Convert to fraction form
    942.32/1,413.96 = 712.61/x
  3. Step 3: Cross multiply
    942.32x = 1,413.96 × 712.61
  4. Step 4: Simplify right side
    942.32x = 1,007,602.04
  5. Step 5: Solve for x
    x = 1,007,602.04/942.32
  6. Step 6: Final answer
    x = 1,069.28

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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.