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Finding the Fourth Proportional to 826, 1,238.64 and 478.96

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Solution

The fourth proportional to 826, 1,238.64 and 478.96 is: 718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    826 : 1,238.64 = 478.96 : x
  2. Step 2: Convert to fraction form
    826/1,238.64 = 478.96/x
  3. Step 3: Cross multiply
    826x = 1,238.64 × 478.96
  4. Step 4: Simplify right side
    826x = 593,259.01
  5. Step 5: Solve for x
    x = 593,259.01/826
  6. Step 6: Final answer
    x = 718.23

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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.