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Finding the Fourth Proportional to 805.24, 1,102.91 and 757.96

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Solution

The fourth proportional to 805.24, 1,102.91 and 757.96 is: 1,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.24 : 1,102.91 = 757.96 : x
  2. Step 2: Convert to fraction form
    805.24/1,102.91 = 757.96/x
  3. Step 3: Cross multiply
    805.24x = 1,102.91 × 757.96
  4. Step 4: Simplify right side
    805.24x = 835,960.03
  5. Step 5: Solve for x
    x = 835,960.03/805.24
  6. Step 6: Final answer
    x = 1,038.15

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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.