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Finding the Fourth Proportional to 667.20, 1,001.70 and 424.80

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Solution

The fourth proportional to 667.20, 1,001.70 and 424.80 is: 637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.20 : 1,001.70 = 424.80 : x
  2. Step 2: Convert to fraction form
    667.20/1,001.70 = 424.80/x
  3. Step 3: Cross multiply
    667.20x = 1,001.70 × 424.80
  4. Step 4: Simplify right side
    667.20x = 425,522.16
  5. Step 5: Solve for x
    x = 425,522.16/667.20
  6. Step 6: Final answer
    x = 637.77

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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.