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Finding the Fourth Proportional to 832.10, 1,149.46 and 600.44

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Solution

The fourth proportional to 832.10, 1,149.46 and 600.44 is: 829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.10 : 1,149.46 = 600.44 : x
  2. Step 2: Convert to fraction form
    832.10/1,149.46 = 600.44/x
  3. Step 3: Cross multiply
    832.10x = 1,149.46 × 600.44
  4. Step 4: Simplify right side
    832.10x = 690,174.51
  5. Step 5: Solve for x
    x = 690,174.51/832.10
  6. Step 6: Final answer
    x = 829.44

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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.