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Finding the Fourth Proportional to 756.61, 1,134.92 and 208.80

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Solution

The fourth proportional to 756.61, 1,134.92 and 208.80 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.61 : 1,134.92 = 208.80 : x
  2. Step 2: Convert to fraction form
    756.61/1,134.92 = 208.80/x
  3. Step 3: Cross multiply
    756.61x = 1,134.92 × 208.80
  4. Step 4: Simplify right side
    756.61x = 236,964.58
  5. Step 5: Solve for x
    x = 236,964.58/756.61
  6. Step 6: Final answer
    x = 313.19

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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.