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Finding the Fourth Proportional to 826.48, 1,238.12 and 565.86

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Solution

The fourth proportional to 826.48, 1,238.12 and 565.86 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.48 : 1,238.12 = 565.86 : x
  2. Step 2: Convert to fraction form
    826.48/1,238.12 = 565.86/x
  3. Step 3: Cross multiply
    826.48x = 1,238.12 × 565.86
  4. Step 4: Simplify right side
    826.48x = 700,602.58
  5. Step 5: Solve for x
    x = 700,602.58/826.48
  6. Step 6: Final answer
    x = 847.69

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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.