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Finding the Fourth Proportional to 827.78, 1,142.08 and 478.49

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Solution

The fourth proportional to 827.78, 1,142.08 and 478.49 is: 660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.78 : 1,142.08 = 478.49 : x
  2. Step 2: Convert to fraction form
    827.78/1,142.08 = 478.49/x
  3. Step 3: Cross multiply
    827.78x = 1,142.08 × 478.49
  4. Step 4: Simplify right side
    827.78x = 546,466.95
  5. Step 5: Solve for x
    x = 546,466.95/827.78
  6. Step 6: Final answer
    x = 660.16

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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.