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Finding the Fourth Proportional to 667.72, 1,001.71 and 277.51

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Solution

The fourth proportional to 667.72, 1,001.71 and 277.51 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.72 : 1,001.71 = 277.51 : x
  2. Step 2: Convert to fraction form
    667.72/1,001.71 = 277.51/x
  3. Step 3: Cross multiply
    667.72x = 1,001.71 × 277.51
  4. Step 4: Simplify right side
    667.72x = 277,978.15
  5. Step 5: Solve for x
    x = 277,978.15/667.72
  6. Step 6: Final answer
    x = 416.31

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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.