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Finding the Fourth Proportional to 767.37, 1,151.46 and 397.59

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Solution

The fourth proportional to 767.37, 1,151.46 and 397.59 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.37 : 1,151.46 = 397.59 : x
  2. Step 2: Convert to fraction form
    767.37/1,151.46 = 397.59/x
  3. Step 3: Cross multiply
    767.37x = 1,151.46 × 397.59
  4. Step 4: Simplify right side
    767.37x = 457,808.98
  5. Step 5: Solve for x
    x = 457,808.98/767.37
  6. Step 6: Final answer
    x = 596.59

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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.