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Finding the Fourth Proportional to 668.72, 1,002.36 and 596.72

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Solution

The fourth proportional to 668.72, 1,002.36 and 596.72 is: 894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 1,002.36 = 596.72 : x
  2. Step 2: Convert to fraction form
    668.72/1,002.36 = 596.72/x
  3. Step 3: Cross multiply
    668.72x = 1,002.36 × 596.72
  4. Step 4: Simplify right side
    668.72x = 598,128.26
  5. Step 5: Solve for x
    x = 598,128.26/668.72
  6. Step 6: Final answer
    x = 894.44

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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.