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Finding the Fourth Proportional to 764.35, 1,054.92 and 484.61

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Solution

The fourth proportional to 764.35, 1,054.92 and 484.61 is: 668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.35 : 1,054.92 = 484.61 : x
  2. Step 2: Convert to fraction form
    764.35/1,054.92 = 484.61/x
  3. Step 3: Cross multiply
    764.35x = 1,054.92 × 484.61
  4. Step 4: Simplify right side
    764.35x = 511,222.36
  5. Step 5: Solve for x
    x = 511,222.36/764.35
  6. Step 6: Final answer
    x = 668.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.