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Finding the Fourth Proportional to 671.09, 1,007.17 and 427.82

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Solution

The fourth proportional to 671.09, 1,007.17 and 427.82 is: 642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.09 : 1,007.17 = 427.82 : x
  2. Step 2: Convert to fraction form
    671.09/1,007.17 = 427.82/x
  3. Step 3: Cross multiply
    671.09x = 1,007.17 × 427.82
  4. Step 4: Simplify right side
    671.09x = 430,881.36
  5. Step 5: Solve for x
    x = 430,881.36/671.09
  6. Step 6: Final answer
    x = 642.07

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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.