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Finding the Fourth Proportional to 888.08, 1,333.20 and 827.60

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Solution

The fourth proportional to 888.08, 1,333.20 and 827.60 is: 1,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.08 : 1,333.20 = 827.60 : x
  2. Step 2: Convert to fraction form
    888.08/1,333.20 = 827.60/x
  3. Step 3: Cross multiply
    888.08x = 1,333.20 × 827.60
  4. Step 4: Simplify right side
    888.08x = 1,103,356.32
  5. Step 5: Solve for x
    x = 1,103,356.32/888.08
  6. Step 6: Final answer
    x = 1,242.41

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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.