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Finding the Fourth Proportional to 832.74, 1,243.92 and 616.74

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Solution

The fourth proportional to 832.74, 1,243.92 and 616.74 is: 921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.74 : 1,243.92 = 616.74 : x
  2. Step 2: Convert to fraction form
    832.74/1,243.92 = 616.74/x
  3. Step 3: Cross multiply
    832.74x = 1,243.92 × 616.74
  4. Step 4: Simplify right side
    832.74x = 767,175.22
  5. Step 5: Solve for x
    x = 767,175.22/832.74
  6. Step 6: Final answer
    x = 921.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.