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Finding the Fourth Proportional to 768.62, 1,150.38 and 584.99

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Solution

The fourth proportional to 768.62, 1,150.38 and 584.99 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.62 : 1,150.38 = 584.99 : x
  2. Step 2: Convert to fraction form
    768.62/1,150.38 = 584.99/x
  3. Step 3: Cross multiply
    768.62x = 1,150.38 × 584.99
  4. Step 4: Simplify right side
    768.62x = 672,955.04
  5. Step 5: Solve for x
    x = 672,955.04/768.62
  6. Step 6: Final answer
    x = 875.53

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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.