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Finding the Fourth Proportional to 826.42, 1,238.44 and 456.30

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Solution

The fourth proportional to 826.42, 1,238.44 and 456.30 is: 683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.42 : 1,238.44 = 456.30 : x
  2. Step 2: Convert to fraction form
    826.42/1,238.44 = 456.30/x
  3. Step 3: Cross multiply
    826.42x = 1,238.44 × 456.30
  4. Step 4: Simplify right side
    826.42x = 565,097.89
  5. Step 5: Solve for x
    x = 565,097.89/826.42
  6. Step 6: Final answer
    x = 683.79

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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.