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Finding the Fourth Proportional to 884.96, 1,216.22 and 727.34

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Solution

The fourth proportional to 884.96, 1,216.22 and 727.34 is: 999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.96 : 1,216.22 = 727.34 : x
  2. Step 2: Convert to fraction form
    884.96/1,216.22 = 727.34/x
  3. Step 3: Cross multiply
    884.96x = 1,216.22 × 727.34
  4. Step 4: Simplify right side
    884.96x = 884,605.45
  5. Step 5: Solve for x
    x = 884,605.45/884.96
  6. Step 6: Final answer
    x = 999.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.