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Finding the Fourth Proportional to 649.35, 892.67 and 645.39

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Solution

The fourth proportional to 649.35, 892.67 and 645.39 is: 887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 892.67 = 645.39 : x
  2. Step 2: Convert to fraction form
    649.35/892.67 = 645.39/x
  3. Step 3: Cross multiply
    649.35x = 892.67 × 645.39
  4. Step 4: Simplify right side
    649.35x = 576,117.06
  5. Step 5: Solve for x
    x = 576,117.06/649.35
  6. Step 6: Final answer
    x = 887.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.