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Finding the Fourth Proportional to 668.88, 1,002.66 and 394.60

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Solution

The fourth proportional to 668.88, 1,002.66 and 394.60 is: 591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.88 : 1,002.66 = 394.60 : x
  2. Step 2: Convert to fraction form
    668.88/1,002.66 = 394.60/x
  3. Step 3: Cross multiply
    668.88x = 1,002.66 × 394.60
  4. Step 4: Simplify right side
    668.88x = 395,649.64
  5. Step 5: Solve for x
    x = 395,649.64/668.88
  6. Step 6: Final answer
    x = 591.51

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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.