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Finding the Fourth Proportional to 832.47, 1,149.17 and 500.82

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Solution

The fourth proportional to 832.47, 1,149.17 and 500.82 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.47 : 1,149.17 = 500.82 : x
  2. Step 2: Convert to fraction form
    832.47/1,149.17 = 500.82/x
  3. Step 3: Cross multiply
    832.47x = 1,149.17 × 500.82
  4. Step 4: Simplify right side
    832.47x = 575,524.82
  5. Step 5: Solve for x
    x = 575,524.82/832.47
  6. Step 6: Final answer
    x = 691.35

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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.