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Finding the Fourth Proportional to 688.05, 1,028.84 and 514.17

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Solution

The fourth proportional to 688.05, 1,028.84 and 514.17 is: 768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.05 : 1,028.84 = 514.17 : x
  2. Step 2: Convert to fraction form
    688.05/1,028.84 = 514.17/x
  3. Step 3: Cross multiply
    688.05x = 1,028.84 × 514.17
  4. Step 4: Simplify right side
    688.05x = 528,996.09
  5. Step 5: Solve for x
    x = 528,996.09/688.05
  6. Step 6: Final answer
    x = 768.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.