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Finding the Fourth Proportional to 1,227.84, 1,839.24 and 649.68

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Solution

The fourth proportional to 1,227.84, 1,839.24 and 649.68 is: 973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.84 : 1,839.24 = 649.68 : x
  2. Step 2: Convert to fraction form
    1,227.84/1,839.24 = 649.68/x
  3. Step 3: Cross multiply
    1,227.84x = 1,839.24 × 649.68
  4. Step 4: Simplify right side
    1,227.84x = 1,194,917.44
  5. Step 5: Solve for x
    x = 1,194,917.44/1,227.84
  6. Step 6: Final answer
    x = 973.19

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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.