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Finding the Fourth Proportional to 764.64, 1,149.12 and 738.72

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Solution

The fourth proportional to 764.64, 1,149.12 and 738.72 is: 1,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,149.12 = 738.72 : x
  2. Step 2: Convert to fraction form
    764.64/1,149.12 = 738.72/x
  3. Step 3: Cross multiply
    764.64x = 1,149.12 × 738.72
  4. Step 4: Simplify right side
    764.64x = 848,877.93
  5. Step 5: Solve for x
    x = 848,877.93/764.64
  6. Step 6: Final answer
    x = 1,110.17

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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.