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Finding the Fourth Proportional to 949.26, 1,298.76 and 945.66

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Solution

The fourth proportional to 949.26, 1,298.76 and 945.66 is: 1,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.26 : 1,298.76 = 945.66 : x
  2. Step 2: Convert to fraction form
    949.26/1,298.76 = 945.66/x
  3. Step 3: Cross multiply
    949.26x = 1,298.76 × 945.66
  4. Step 4: Simplify right side
    949.26x = 1,228,185.38
  5. Step 5: Solve for x
    x = 1,228,185.38/949.26
  6. Step 6: Final answer
    x = 1,293.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.