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Finding the Fourth Proportional to 1,076.49, 1,614.74 and 427.22

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Solution

The fourth proportional to 1,076.49, 1,614.74 and 427.22 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.49 : 1,614.74 = 427.22 : x
  2. Step 2: Convert to fraction form
    1,076.49/1,614.74 = 427.22/x
  3. Step 3: Cross multiply
    1,076.49x = 1,614.74 × 427.22
  4. Step 4: Simplify right side
    1,076.49x = 689,839.01
  5. Step 5: Solve for x
    x = 689,839.01/1,076.49
  6. Step 6: Final answer
    x = 640.82

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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.