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Finding the Fourth Proportional to 942.65, 1,413.40 and 422.55

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Solution

The fourth proportional to 942.65, 1,413.40 and 422.55 is: 633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.65 : 1,413.40 = 422.55 : x
  2. Step 2: Convert to fraction form
    942.65/1,413.40 = 422.55/x
  3. Step 3: Cross multiply
    942.65x = 1,413.40 × 422.55
  4. Step 4: Simplify right side
    942.65x = 597,233.63
  5. Step 5: Solve for x
    x = 597,233.63/942.65
  6. Step 6: Final answer
    x = 633.57

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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.