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Finding the Fourth Proportional to 827.41, 1,147.66 and 797.86

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Solution

The fourth proportional to 827.41, 1,147.66 and 797.86 is: 1,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.41 : 1,147.66 = 797.86 : x
  2. Step 2: Convert to fraction form
    827.41/1,147.66 = 797.86/x
  3. Step 3: Cross multiply
    827.41x = 1,147.66 × 797.86
  4. Step 4: Simplify right side
    827.41x = 915,666.27
  5. Step 5: Solve for x
    x = 915,666.27/827.41
  6. Step 6: Final answer
    x = 1,106.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.