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Finding the Fourth Proportional to 1,208.76, 1,668.78 and 795.96

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Solution

The fourth proportional to 1,208.76, 1,668.78 and 795.96 is: 1,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.76 : 1,668.78 = 795.96 : x
  2. Step 2: Convert to fraction form
    1,208.76/1,668.78 = 795.96/x
  3. Step 3: Cross multiply
    1,208.76x = 1,668.78 × 795.96
  4. Step 4: Simplify right side
    1,208.76x = 1,328,282.13
  5. Step 5: Solve for x
    x = 1,328,282.13/1,208.76
  6. Step 6: Final answer
    x = 1,098.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.