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Finding the Fourth Proportional to 672.15, 927.87 and 506.43

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Solution

The fourth proportional to 672.15, 927.87 and 506.43 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.15 : 927.87 = 506.43 : x
  2. Step 2: Convert to fraction form
    672.15/927.87 = 506.43/x
  3. Step 3: Cross multiply
    672.15x = 927.87 × 506.43
  4. Step 4: Simplify right side
    672.15x = 469,901.20
  5. Step 5: Solve for x
    x = 469,901.20/672.15
  6. Step 6: Final answer
    x = 699.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.