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Finding the Fourth Proportional to 757.29, 1,135.29 and 696.54

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Solution

The fourth proportional to 757.29, 1,135.29 and 696.54 is: 1,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.29 : 1,135.29 = 696.54 : x
  2. Step 2: Convert to fraction form
    757.29/1,135.29 = 696.54/x
  3. Step 3: Cross multiply
    757.29x = 1,135.29 × 696.54
  4. Step 4: Simplify right side
    757.29x = 790,774.90
  5. Step 5: Solve for x
    x = 790,774.90/757.29
  6. Step 6: Final answer
    x = 1,044.22

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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.