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Finding the Fourth Proportional to 668.17, 1,002.26 and 506.85

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Solution

The fourth proportional to 668.17, 1,002.26 and 506.85 is: 760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.17 : 1,002.26 = 506.85 : x
  2. Step 2: Convert to fraction form
    668.17/1,002.26 = 506.85/x
  3. Step 3: Cross multiply
    668.17x = 1,002.26 × 506.85
  4. Step 4: Simplify right side
    668.17x = 507,995.48
  5. Step 5: Solve for x
    x = 507,995.48/668.17
  6. Step 6: Final answer
    x = 760.28

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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.