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Finding the Fourth Proportional to 864.56, 1,297.05 and 287.44

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Solution

The fourth proportional to 864.56, 1,297.05 and 287.44 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.56 : 1,297.05 = 287.44 : x
  2. Step 2: Convert to fraction form
    864.56/1,297.05 = 287.44/x
  3. Step 3: Cross multiply
    864.56x = 1,297.05 × 287.44
  4. Step 4: Simplify right side
    864.56x = 372,819.73
  5. Step 5: Solve for x
    x = 372,819.73/864.56
  6. Step 6: Final answer
    x = 431.22

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1.5x scale

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.