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Finding the Fourth Proportional to 859, 1,184.02 and 672.16

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Solution

The fourth proportional to 859, 1,184.02 and 672.16 is: 926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    859 : 1,184.02 = 672.16 : x
  2. Step 2: Convert to fraction form
    859/1,184.02 = 672.16/x
  3. Step 3: Cross multiply
    859x = 1,184.02 × 672.16
  4. Step 4: Simplify right side
    859x = 795,850.88
  5. Step 5: Solve for x
    x = 795,850.88/859
  6. Step 6: Final answer
    x = 926.49

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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.