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Finding the Fourth Proportional to 654.27, 981.99 and 491.46

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Solution

The fourth proportional to 654.27, 981.99 and 491.46 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.27 : 981.99 = 491.46 : x
  2. Step 2: Convert to fraction form
    654.27/981.99 = 491.46/x
  3. Step 3: Cross multiply
    654.27x = 981.99 × 491.46
  4. Step 4: Simplify right side
    654.27x = 482,608.81
  5. Step 5: Solve for x
    x = 482,608.81/654.27
  6. Step 6: Final answer
    x = 737.63

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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.