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Finding the Fourth Proportional to 875.94, 1,313.89 and 827.11

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Solution

The fourth proportional to 875.94, 1,313.89 and 827.11 is: 1,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.94 : 1,313.89 = 827.11 : x
  2. Step 2: Convert to fraction form
    875.94/1,313.89 = 827.11/x
  3. Step 3: Cross multiply
    875.94x = 1,313.89 × 827.11
  4. Step 4: Simplify right side
    875.94x = 1,086,731.56
  5. Step 5: Solve for x
    x = 1,086,731.56/875.94
  6. Step 6: Final answer
    x = 1,240.65

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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.