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Finding the Fourth Proportional to 876.73, 1,315.10 and 823.27

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Solution

The fourth proportional to 876.73, 1,315.10 and 823.27 is: 1,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.73 : 1,315.10 = 823.27 : x
  2. Step 2: Convert to fraction form
    876.73/1,315.10 = 823.27/x
  3. Step 3: Cross multiply
    876.73x = 1,315.10 × 823.27
  4. Step 4: Simplify right side
    876.73x = 1,082,678.98
  5. Step 5: Solve for x
    x = 1,082,678.98/876.73
  6. Step 6: Final answer
    x = 1,234.91

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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.