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Finding the Fourth Proportional to 759.11, 1,047.97 and 511.73

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Solution

The fourth proportional to 759.11, 1,047.97 and 511.73 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.11 : 1,047.97 = 511.73 : x
  2. Step 2: Convert to fraction form
    759.11/1,047.97 = 511.73/x
  3. Step 3: Cross multiply
    759.11x = 1,047.97 × 511.73
  4. Step 4: Simplify right side
    759.11x = 536,282.91
  5. Step 5: Solve for x
    x = 536,282.91/759.11
  6. Step 6: Final answer
    x = 706.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.