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Finding the Fourth Proportional to 757, 1,138.24 and 696.86

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Solution

The fourth proportional to 757, 1,138.24 and 696.86 is: 1,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    757 : 1,138.24 = 696.86 : x
  2. Step 2: Convert to fraction form
    757/1,138.24 = 696.86/x
  3. Step 3: Cross multiply
    757x = 1,138.24 × 696.86
  4. Step 4: Simplify right side
    757x = 793,193.93
  5. Step 5: Solve for x
    x = 793,193.93/757
  6. Step 6: Final answer
    x = 1,047.81

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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.