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Finding the Fourth Proportional to 517.89, 775.93 and 505.14

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Solution

The fourth proportional to 517.89, 775.93 and 505.14 is: 756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 775.93 = 505.14 : x
  2. Step 2: Convert to fraction form
    517.89/775.93 = 505.14/x
  3. Step 3: Cross multiply
    517.89x = 775.93 × 505.14
  4. Step 4: Simplify right side
    517.89x = 391,953.28
  5. Step 5: Solve for x
    x = 391,953.28/517.89
  6. Step 6: Final answer
    x = 756.83

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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.