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Finding the Fourth Proportional to 832.94, 1,249.68 and 400.13

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Solution

The fourth proportional to 832.94, 1,249.68 and 400.13 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.94 : 1,249.68 = 400.13 : x
  2. Step 2: Convert to fraction form
    832.94/1,249.68 = 400.13/x
  3. Step 3: Cross multiply
    832.94x = 1,249.68 × 400.13
  4. Step 4: Simplify right side
    832.94x = 500,028.21
  5. Step 5: Solve for x
    x = 500,028.21/832.94
  6. Step 6: Final answer
    x = 600.32

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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.