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Finding the Fourth Proportional to 823.95, 1,235.89 and 207.66

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Solution

The fourth proportional to 823.95, 1,235.89 and 207.66 is: 311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.95 : 1,235.89 = 207.66 : x
  2. Step 2: Convert to fraction form
    823.95/1,235.89 = 207.66/x
  3. Step 3: Cross multiply
    823.95x = 1,235.89 × 207.66
  4. Step 4: Simplify right side
    823.95x = 256,644.92
  5. Step 5: Solve for x
    x = 256,644.92/823.95
  6. Step 6: Final answer
    x = 311.48

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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.