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Finding the Fourth Proportional to 981.80, 1,473.90 and 974.60

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Solution

The fourth proportional to 981.80, 1,473.90 and 974.60 is: 1,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.80 : 1,473.90 = 974.60 : x
  2. Step 2: Convert to fraction form
    981.80/1,473.90 = 974.60/x
  3. Step 3: Cross multiply
    981.80x = 1,473.90 × 974.60
  4. Step 4: Simplify right side
    981.80x = 1,436,462.94
  5. Step 5: Solve for x
    x = 1,436,462.94/981.80
  6. Step 6: Final answer
    x = 1,463.09

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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.