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Finding the Fourth Proportional to 697.87, 1,048.02 and 667.09

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Solution

The fourth proportional to 697.87, 1,048.02 and 667.09 is: 1,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 1,048.02 = 667.09 : x
  2. Step 2: Convert to fraction form
    697.87/1,048.02 = 667.09/x
  3. Step 3: Cross multiply
    697.87x = 1,048.02 × 667.09
  4. Step 4: Simplify right side
    697.87x = 699,123.66
  5. Step 5: Solve for x
    x = 699,123.66/697.87
  6. Step 6: Final answer
    x = 1,001.80

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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.