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Finding the Fourth Proportional to 872.04, 1,202.44 and 684.92

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Solution

The fourth proportional to 872.04, 1,202.44 and 684.92 is: 944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.04 : 1,202.44 = 684.92 : x
  2. Step 2: Convert to fraction form
    872.04/1,202.44 = 684.92/x
  3. Step 3: Cross multiply
    872.04x = 1,202.44 × 684.92
  4. Step 4: Simplify right side
    872.04x = 823,575.20
  5. Step 5: Solve for x
    x = 823,575.20/872.04
  6. Step 6: Final answer
    x = 944.42

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1.5x scale

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.