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Finding the Fourth Proportional to 536.82, 742.13 and 513.87

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Solution

The fourth proportional to 536.82, 742.13 and 513.87 is: 710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 742.13 = 513.87 : x
  2. Step 2: Convert to fraction form
    536.82/742.13 = 513.87/x
  3. Step 3: Cross multiply
    536.82x = 742.13 × 513.87
  4. Step 4: Simplify right side
    536.82x = 381,358.34
  5. Step 5: Solve for x
    x = 381,358.34/536.82
  6. Step 6: Final answer
    x = 710.40

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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.