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Finding the Fourth Proportional to 906.74, 1,249.54 and 644.30

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Solution

The fourth proportional to 906.74, 1,249.54 and 644.30 is: 887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.74 : 1,249.54 = 644.30 : x
  2. Step 2: Convert to fraction form
    906.74/1,249.54 = 644.30/x
  3. Step 3: Cross multiply
    906.74x = 1,249.54 × 644.30
  4. Step 4: Simplify right side
    906.74x = 805,072.37
  5. Step 5: Solve for x
    x = 805,072.37/906.74
  6. Step 6: Final answer
    x = 887.88

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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.