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Finding the Fourth Proportional to 826.68, 1,238.43 and 460.36

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Solution

The fourth proportional to 826.68, 1,238.43 and 460.36 is: 689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.68 : 1,238.43 = 460.36 : x
  2. Step 2: Convert to fraction form
    826.68/1,238.43 = 460.36/x
  3. Step 3: Cross multiply
    826.68x = 1,238.43 × 460.36
  4. Step 4: Simplify right side
    826.68x = 570,123.63
  5. Step 5: Solve for x
    x = 570,123.63/826.68
  6. Step 6: Final answer
    x = 689.65

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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.