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Finding the Fourth Proportional to 649.05, 974.37 and 646.08

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Solution

The fourth proportional to 649.05, 974.37 and 646.08 is: 969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.05 : 974.37 = 646.08 : x
  2. Step 2: Convert to fraction form
    649.05/974.37 = 646.08/x
  3. Step 3: Cross multiply
    649.05x = 974.37 × 646.08
  4. Step 4: Simplify right side
    649.05x = 629,520.97
  5. Step 5: Solve for x
    x = 629,520.97/649.05
  6. Step 6: Final answer
    x = 969.91

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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.