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Finding the Fourth Proportional to 672.30, 1,002.38 and 666.63

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Solution

The fourth proportional to 672.30, 1,002.38 and 666.63 is: 993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.30 : 1,002.38 = 666.63 : x
  2. Step 2: Convert to fraction form
    672.30/1,002.38 = 666.63/x
  3. Step 3: Cross multiply
    672.30x = 1,002.38 × 666.63
  4. Step 4: Simplify right side
    672.30x = 668,213.25
  5. Step 5: Solve for x
    x = 668,213.25/672.30
  6. Step 6: Final answer
    x = 993.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.