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Finding the Fourth Proportional to 905.05, 1,249.03 and 506.75

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Solution

The fourth proportional to 905.05, 1,249.03 and 506.75 is: 699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.05 : 1,249.03 = 506.75 : x
  2. Step 2: Convert to fraction form
    905.05/1,249.03 = 506.75/x
  3. Step 3: Cross multiply
    905.05x = 1,249.03 × 506.75
  4. Step 4: Simplify right side
    905.05x = 632,937.49
  5. Step 5: Solve for x
    x = 632,937.49/905.05
  6. Step 6: Final answer
    x = 699.34

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Double scale
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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.