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Finding the Fourth Proportional to 955.80, 1,433.70 and 942.14

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Solution

The fourth proportional to 955.80, 1,433.70 and 942.14 is: 1,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.80 : 1,433.70 = 942.14 : x
  2. Step 2: Convert to fraction form
    955.80/1,433.70 = 942.14/x
  3. Step 3: Cross multiply
    955.80x = 1,433.70 × 942.14
  4. Step 4: Simplify right side
    955.80x = 1,350,749.70
  5. Step 5: Solve for x
    x = 1,350,749.70/955.80
  6. Step 6: Final answer
    x = 1,413.21

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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.