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Finding the Fourth Proportional to 866.86, 1,299.39 and 649.78

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Solution

The fourth proportional to 866.86, 1,299.39 and 649.78 is: 974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.86 : 1,299.39 = 649.78 : x
  2. Step 2: Convert to fraction form
    866.86/1,299.39 = 649.78/x
  3. Step 3: Cross multiply
    866.86x = 1,299.39 × 649.78
  4. Step 4: Simplify right side
    866.86x = 844,317.63
  5. Step 5: Solve for x
    x = 844,317.63/866.86
  6. Step 6: Final answer
    x = 974.00

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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.