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Finding the Fourth Proportional to 759.63, 1,136.81 and 467.00

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Solution

The fourth proportional to 759.63, 1,136.81 and 467.00 is: 698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.63 : 1,136.81 = 467.00 : x
  2. Step 2: Convert to fraction form
    759.63/1,136.81 = 467.00/x
  3. Step 3: Cross multiply
    759.63x = 1,136.81 × 467.00
  4. Step 4: Simplify right side
    759.63x = 530,882.25
  5. Step 5: Solve for x
    x = 530,882.25/759.63
  6. Step 6: Final answer
    x = 698.87

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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.