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Finding the Fourth Proportional to 983.41, 1,474.07 and 654.62

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Solution

The fourth proportional to 983.41, 1,474.07 and 654.62 is: 981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.41 : 1,474.07 = 654.62 : x
  2. Step 2: Convert to fraction form
    983.41/1,474.07 = 654.62/x
  3. Step 3: Cross multiply
    983.41x = 1,474.07 × 654.62
  4. Step 4: Simplify right side
    983.41x = 964,945.06
  5. Step 5: Solve for x
    x = 964,945.06/983.41
  6. Step 6: Final answer
    x = 981.23

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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.