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Finding the Fourth Proportional to 1,208.96, 1,668.56 and 711.76

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Solution

The fourth proportional to 1,208.96, 1,668.56 and 711.76 is: 982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.96 : 1,668.56 = 711.76 : x
  2. Step 2: Convert to fraction form
    1,208.96/1,668.56 = 711.76/x
  3. Step 3: Cross multiply
    1,208.96x = 1,668.56 × 711.76
  4. Step 4: Simplify right side
    1,208.96x = 1,187,614.27
  5. Step 5: Solve for x
    x = 1,187,614.27/1,208.96
  6. Step 6: Final answer
    x = 982.34

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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.