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Finding the Fourth Proportional to 827.31, 1,141.73 and 478

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Solution

The fourth proportional to 827.31, 1,141.73 and 478 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.31 : 1,141.73 = 478 : x
  2. Step 2: Convert to fraction form
    827.31/1,141.73 = 478/x
  3. Step 3: Cross multiply
    827.31x = 1,141.73 × 478
  4. Step 4: Simplify right side
    827.31x = 545,746.94
  5. Step 5: Solve for x
    x = 545,746.94/827.31
  6. Step 6: Final answer
    x = 659.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.