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Finding the Fourth Proportional to 517.85, 776.64 and 142.59

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Solution

The fourth proportional to 517.85, 776.64 and 142.59 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.85 : 776.64 = 142.59 : x
  2. Step 2: Convert to fraction form
    517.85/776.64 = 142.59/x
  3. Step 3: Cross multiply
    517.85x = 776.64 × 142.59
  4. Step 4: Simplify right side
    517.85x = 110,741.10
  5. Step 5: Solve for x
    x = 110,741.10/517.85
  6. Step 6: Final answer
    x = 213.85

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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.