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Finding the Fourth Proportional to 832.14, 1,246.64 and 467.19

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Solution

The fourth proportional to 832.14, 1,246.64 and 467.19 is: 699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,246.64 = 467.19 : x
  2. Step 2: Convert to fraction form
    832.14/1,246.64 = 467.19/x
  3. Step 3: Cross multiply
    832.14x = 1,246.64 × 467.19
  4. Step 4: Simplify right side
    832.14x = 582,415.41
  5. Step 5: Solve for x
    x = 582,415.41/832.14
  6. Step 6: Final answer
    x = 699.90

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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.