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Finding the Fourth Proportional to 764.28, 1,054.14 and 577.78

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Solution

The fourth proportional to 764.28, 1,054.14 and 577.78 is: 796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.28 : 1,054.14 = 577.78 : x
  2. Step 2: Convert to fraction form
    764.28/1,054.14 = 577.78/x
  3. Step 3: Cross multiply
    764.28x = 1,054.14 × 577.78
  4. Step 4: Simplify right side
    764.28x = 609,061.01
  5. Step 5: Solve for x
    x = 609,061.01/764.28
  6. Step 6: Final answer
    x = 796.91

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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.