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Finding the Fourth Proportional to 982.87, 1,462.70 and 950.06

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Solution

The fourth proportional to 982.87, 1,462.70 and 950.06 is: 1,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.87 : 1,462.70 = 950.06 : x
  2. Step 2: Convert to fraction form
    982.87/1,462.70 = 950.06/x
  3. Step 3: Cross multiply
    982.87x = 1,462.70 × 950.06
  4. Step 4: Simplify right side
    982.87x = 1,389,656.12
  5. Step 5: Solve for x
    x = 1,389,656.12/982.87
  6. Step 6: Final answer
    x = 1,413.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.