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Finding the Fourth Proportional to 764.92, 1,055.60 and 454.42

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Solution

The fourth proportional to 764.92, 1,055.60 and 454.42 is: 627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.92 : 1,055.60 = 454.42 : x
  2. Step 2: Convert to fraction form
    764.92/1,055.60 = 454.42/x
  3. Step 3: Cross multiply
    764.92x = 1,055.60 × 454.42
  4. Step 4: Simplify right side
    764.92x = 479,685.75
  5. Step 5: Solve for x
    x = 479,685.75/764.92
  6. Step 6: Final answer
    x = 627.11

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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.