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Finding the Fourth Proportional to 764.98, 1,147.83 and 418.66

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Solution

The fourth proportional to 764.98, 1,147.83 and 418.66 is: 628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.98 : 1,147.83 = 418.66 : x
  2. Step 2: Convert to fraction form
    764.98/1,147.83 = 418.66/x
  3. Step 3: Cross multiply
    764.98x = 1,147.83 × 418.66
  4. Step 4: Simplify right side
    764.98x = 480,550.51
  5. Step 5: Solve for x
    x = 480,550.51/764.98
  6. Step 6: Final answer
    x = 628.19

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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.