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Finding the Fourth Proportional to 756.38, 1,134.38 and 208.60

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Solution

The fourth proportional to 756.38, 1,134.38 and 208.60 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.38 : 1,134.38 = 208.60 : x
  2. Step 2: Convert to fraction form
    756.38/1,134.38 = 208.60/x
  3. Step 3: Cross multiply
    756.38x = 1,134.38 × 208.60
  4. Step 4: Simplify right side
    756.38x = 236,631.67
  5. Step 5: Solve for x
    x = 236,631.67/756.38
  6. Step 6: Final answer
    x = 312.85

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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.