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Finding the Fourth Proportional to 654.24, 981.78 and 652.62

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Solution

The fourth proportional to 654.24, 981.78 and 652.62 is: 979.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 981.78 = 652.62 : x
  2. Step 2: Convert to fraction form
    654.24/981.78 = 652.62/x
  3. Step 3: Cross multiply
    654.24x = 981.78 × 652.62
  4. Step 4: Simplify right side
    654.24x = 640,729.26
  5. Step 5: Solve for x
    x = 640,729.26/654.24
  6. Step 6: Final answer
    x = 979.35

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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.