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Finding the Fourth Proportional to 827.28, 1,141.62 and 478.02

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Solution

The fourth proportional to 827.28, 1,141.62 and 478.02 is: 659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.28 : 1,141.62 = 478.02 : x
  2. Step 2: Convert to fraction form
    827.28/1,141.62 = 478.02/x
  3. Step 3: Cross multiply
    827.28x = 1,141.62 × 478.02
  4. Step 4: Simplify right side
    827.28x = 545,717.19
  5. Step 5: Solve for x
    x = 545,717.19/827.28
  6. Step 6: Final answer
    x = 659.65

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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.