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Finding the Fourth Proportional to 1,076.06, 1,614.09 and 427.10

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Solution

The fourth proportional to 1,076.06, 1,614.09 and 427.10 is: 640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.06 : 1,614.09 = 427.10 : x
  2. Step 2: Convert to fraction form
    1,076.06/1,614.09 = 427.10/x
  3. Step 3: Cross multiply
    1,076.06x = 1,614.09 × 427.10
  4. Step 4: Simplify right side
    1,076.06x = 689,377.84
  5. Step 5: Solve for x
    x = 689,377.84/1,076.06
  6. Step 6: Final answer
    x = 640.65

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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.