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Finding the Fourth Proportional to 764.74, 1,055.22 and 449.98

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Solution

The fourth proportional to 764.74, 1,055.22 and 449.98 is: 620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.74 : 1,055.22 = 449.98 : x
  2. Step 2: Convert to fraction form
    764.74/1,055.22 = 449.98/x
  3. Step 3: Cross multiply
    764.74x = 1,055.22 × 449.98
  4. Step 4: Simplify right side
    764.74x = 474,827.90
  5. Step 5: Solve for x
    x = 474,827.90/764.74
  6. Step 6: Final answer
    x = 620.90

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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.