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Finding the Fourth Proportional to 943.50, 1,415.22 and 942.15

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Solution

The fourth proportional to 943.50, 1,415.22 and 942.15 is: 1,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,415.22 = 942.15 : x
  2. Step 2: Convert to fraction form
    943.50/1,415.22 = 942.15/x
  3. Step 3: Cross multiply
    943.50x = 1,415.22 × 942.15
  4. Step 4: Simplify right side
    943.50x = 1,333,349.52
  5. Step 5: Solve for x
    x = 1,333,349.52/943.50
  6. Step 6: Final answer
    x = 1,413.20

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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.