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Finding the Fourth Proportional to 832.05, 1,148.81 and 517.44

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Solution

The fourth proportional to 832.05, 1,148.81 and 517.44 is: 714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.05 : 1,148.81 = 517.44 : x
  2. Step 2: Convert to fraction form
    832.05/1,148.81 = 517.44/x
  3. Step 3: Cross multiply
    832.05x = 1,148.81 × 517.44
  4. Step 4: Simplify right side
    832.05x = 594,437.66
  5. Step 5: Solve for x
    x = 594,437.66/832.05
  6. Step 6: Final answer
    x = 714.43

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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.