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Finding the Fourth Proportional to 826.98, 1,238.63 and 715.83

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Solution

The fourth proportional to 826.98, 1,238.63 and 715.83 is: 1,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.98 : 1,238.63 = 715.83 : x
  2. Step 2: Convert to fraction form
    826.98/1,238.63 = 715.83/x
  3. Step 3: Cross multiply
    826.98x = 1,238.63 × 715.83
  4. Step 4: Simplify right side
    826.98x = 886,644.93
  5. Step 5: Solve for x
    x = 886,644.93/826.98
  6. Step 6: Final answer
    x = 1,072.15

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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.