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Finding the Fourth Proportional to 827.42, 1,141.98 and 478.32

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Solution

The fourth proportional to 827.42, 1,141.98 and 478.32 is: 660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,141.98 = 478.32 : x
  2. Step 2: Convert to fraction form
    827.42/1,141.98 = 478.32/x
  3. Step 3: Cross multiply
    827.42x = 1,141.98 × 478.32
  4. Step 4: Simplify right side
    827.42x = 546,231.87
  5. Step 5: Solve for x
    x = 546,231.87/827.42
  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.