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Finding the Fourth Proportional to 767.58, 1,150.41 and 604.62

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Solution

The fourth proportional to 767.58, 1,150.41 and 604.62 is: 906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.58 : 1,150.41 = 604.62 : x
  2. Step 2: Convert to fraction form
    767.58/1,150.41 = 604.62/x
  3. Step 3: Cross multiply
    767.58x = 1,150.41 × 604.62
  4. Step 4: Simplify right side
    767.58x = 695,560.89
  5. Step 5: Solve for x
    x = 695,560.89/767.58
  6. Step 6: Final answer
    x = 906.17

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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.