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Finding the Fourth Proportional to 667.85, 1,001.77 and 342.23

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Solution

The fourth proportional to 667.85, 1,001.77 and 342.23 is: 513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.85 : 1,001.77 = 342.23 : x
  2. Step 2: Convert to fraction form
    667.85/1,001.77 = 342.23/x
  3. Step 3: Cross multiply
    667.85x = 1,001.77 × 342.23
  4. Step 4: Simplify right side
    667.85x = 342,829.88
  5. Step 5: Solve for x
    x = 342,829.88/667.85
  6. Step 6: Final answer
    x = 513.34

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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.