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Finding the Fourth Proportional to 827.92, 1,142.58 and 478.63

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Solution

The fourth proportional to 827.92, 1,142.58 and 478.63 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.92 : 1,142.58 = 478.63 : x
  2. Step 2: Convert to fraction form
    827.92/1,142.58 = 478.63/x
  3. Step 3: Cross multiply
    827.92x = 1,142.58 × 478.63
  4. Step 4: Simplify right side
    827.92x = 546,873.07
  5. Step 5: Solve for x
    x = 546,873.07/827.92
  6. Step 6: Final answer
    x = 660.54

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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.