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Finding the Fourth Proportional to 654.22, 981.36 and 462.70

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Solution

The fourth proportional to 654.22, 981.36 and 462.70 is: 694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.22 : 981.36 = 462.70 : x
  2. Step 2: Convert to fraction form
    654.22/981.36 = 462.70/x
  3. Step 3: Cross multiply
    654.22x = 981.36 × 462.70
  4. Step 4: Simplify right side
    654.22x = 454,075.27
  5. Step 5: Solve for x
    x = 454,075.27/654.22
  6. Step 6: Final answer
    x = 694.07

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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.