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Finding the Fourth Proportional to 983.96, 1,474.05 and 950.99

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Solution

The fourth proportional to 983.96, 1,474.05 and 950.99 is: 1,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.96 : 1,474.05 = 950.99 : x
  2. Step 2: Convert to fraction form
    983.96/1,474.05 = 950.99/x
  3. Step 3: Cross multiply
    983.96x = 1,474.05 × 950.99
  4. Step 4: Simplify right side
    983.96x = 1,401,799.44
  5. Step 5: Solve for x
    x = 1,401,799.44/983.96
  6. Step 6: Final answer
    x = 1,424.66

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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.