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Finding the Fourth Proportional to 764.24, 1,145.93 and 244.16

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Solution

The fourth proportional to 764.24, 1,145.93 and 244.16 is: 366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,145.93 = 244.16 : x
  2. Step 2: Convert to fraction form
    764.24/1,145.93 = 244.16/x
  3. Step 3: Cross multiply
    764.24x = 1,145.93 × 244.16
  4. Step 4: Simplify right side
    764.24x = 279,784.74
  5. Step 5: Solve for x
    x = 279,784.74/764.24
  6. Step 6: Final answer
    x = 366.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.