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Finding the Fourth Proportional to 827.94, 1,142.60 and 478.56

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Solution

The fourth proportional to 827.94, 1,142.60 and 478.56 is: 660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.94 : 1,142.60 = 478.56 : x
  2. Step 2: Convert to fraction form
    827.94/1,142.60 = 478.56/x
  3. Step 3: Cross multiply
    827.94x = 1,142.60 × 478.56
  4. Step 4: Simplify right side
    827.94x = 546,802.66
  5. Step 5: Solve for x
    x = 546,802.66/827.94
  6. Step 6: Final answer
    x = 660.44

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