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Finding the Fourth Proportional to 756.50, 1,134.71 and 208.67

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Solution

The fourth proportional to 756.50, 1,134.71 and 208.67 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.50 : 1,134.71 = 208.67 : x
  2. Step 2: Convert to fraction form
    756.50/1,134.71 = 208.67/x
  3. Step 3: Cross multiply
    756.50x = 1,134.71 × 208.67
  4. Step 4: Simplify right side
    756.50x = 236,774.00
  5. Step 5: Solve for x
    x = 236,774.00/756.50
  6. Step 6: Final answer
    x = 312.99

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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.