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Finding the Fourth Proportional to 884.46, 1,219.87 and 648.32

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Solution

The fourth proportional to 884.46, 1,219.87 and 648.32 is: 894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.46 : 1,219.87 = 648.32 : x
  2. Step 2: Convert to fraction form
    884.46/1,219.87 = 648.32/x
  3. Step 3: Cross multiply
    884.46x = 1,219.87 × 648.32
  4. Step 4: Simplify right side
    884.46x = 790,866.12
  5. Step 5: Solve for x
    x = 790,866.12/884.46
  6. Step 6: Final answer
    x = 894.18

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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.