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Finding the Fourth Proportional to 892.44, 1,336.78 and 566.18

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Solution

The fourth proportional to 892.44, 1,336.78 and 566.18 is: 848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.44 : 1,336.78 = 566.18 : x
  2. Step 2: Convert to fraction form
    892.44/1,336.78 = 566.18/x
  3. Step 3: Cross multiply
    892.44x = 1,336.78 × 566.18
  4. Step 4: Simplify right side
    892.44x = 756,858.10
  5. Step 5: Solve for x
    x = 756,858.10/892.44
  6. Step 6: Final answer
    x = 848.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.