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Finding the Fourth Proportional to 667.37, 1,001.40 and 506.05

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Solution

The fourth proportional to 667.37, 1,001.40 and 506.05 is: 759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.37 : 1,001.40 = 506.05 : x
  2. Step 2: Convert to fraction form
    667.37/1,001.40 = 506.05/x
  3. Step 3: Cross multiply
    667.37x = 1,001.40 × 506.05
  4. Step 4: Simplify right side
    667.37x = 506,758.47
  5. Step 5: Solve for x
    x = 506,758.47/667.37
  6. Step 6: Final answer
    x = 759.34

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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.