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Finding the Fourth Proportional to 649.94, 974.07 and 614.42

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Solution

The fourth proportional to 649.94, 974.07 and 614.42 is: 920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.94 : 974.07 = 614.42 : x
  2. Step 2: Convert to fraction form
    649.94/974.07 = 614.42/x
  3. Step 3: Cross multiply
    649.94x = 974.07 × 614.42
  4. Step 4: Simplify right side
    649.94x = 598,488.09
  5. Step 5: Solve for x
    x = 598,488.09/649.94
  6. Step 6: Final answer
    x = 920.84

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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.