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Finding the Fourth Proportional to 1,131.23, 1,696.39 and 766.12

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Solution

The fourth proportional to 1,131.23, 1,696.39 and 766.12 is: 1,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.23 : 1,696.39 = 766.12 : x
  2. Step 2: Convert to fraction form
    1,131.23/1,696.39 = 766.12/x
  3. Step 3: Cross multiply
    1,131.23x = 1,696.39 × 766.12
  4. Step 4: Simplify right side
    1,131.23x = 1,299,638.31
  5. Step 5: Solve for x
    x = 1,299,638.31/1,131.23
  6. Step 6: Final answer
    x = 1,148.87

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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.