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Finding the Fourth Proportional to 764.28, 1,146.88 and 277.37

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Solution

The fourth proportional to 764.28, 1,146.88 and 277.37 is: 416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.28 : 1,146.88 = 277.37 : x
  2. Step 2: Convert to fraction form
    764.28/1,146.88 = 277.37/x
  3. Step 3: Cross multiply
    764.28x = 1,146.88 × 277.37
  4. Step 4: Simplify right side
    764.28x = 318,113.32
  5. Step 5: Solve for x
    x = 318,113.32/764.28
  6. Step 6: Final answer
    x = 416.22

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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.