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Finding the Fourth Proportional to 832.41, 1,149.03 and 538.47

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Solution

The fourth proportional to 832.41, 1,149.03 and 538.47 is: 743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.41 : 1,149.03 = 538.47 : x
  2. Step 2: Convert to fraction form
    832.41/1,149.03 = 538.47/x
  3. Step 3: Cross multiply
    832.41x = 1,149.03 × 538.47
  4. Step 4: Simplify right side
    832.41x = 618,718.18
  5. Step 5: Solve for x
    x = 618,718.18/832.41
  6. Step 6: Final answer
    x = 743.29

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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.