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Finding the Fourth Proportional to 668.26, 1,001.79 and 424.30

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Solution

The fourth proportional to 668.26, 1,001.79 and 424.30 is: 636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.26 : 1,001.79 = 424.30 : x
  2. Step 2: Convert to fraction form
    668.26/1,001.79 = 424.30/x
  3. Step 3: Cross multiply
    668.26x = 1,001.79 × 424.30
  4. Step 4: Simplify right side
    668.26x = 425,059.50
  5. Step 5: Solve for x
    x = 425,059.50/668.26
  6. Step 6: Final answer
    x = 636.07

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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.