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Finding the Fourth Proportional to 905.58, 1,249.68 and 507.22

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Solution

The fourth proportional to 905.58, 1,249.68 and 507.22 is: 699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.58 : 1,249.68 = 507.22 : x
  2. Step 2: Convert to fraction form
    905.58/1,249.68 = 507.22/x
  3. Step 3: Cross multiply
    905.58x = 1,249.68 × 507.22
  4. Step 4: Simplify right side
    905.58x = 633,862.69
  5. Step 5: Solve for x
    x = 633,862.69/905.58
  6. Step 6: Final answer
    x = 699.95

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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.