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Finding the Fourth Proportional to 764.18, 1,146.68 and 399.28

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Solution

The fourth proportional to 764.18, 1,146.68 and 399.28 is: 599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.18 : 1,146.68 = 399.28 : x
  2. Step 2: Convert to fraction form
    764.18/1,146.68 = 399.28/x
  3. Step 3: Cross multiply
    764.18x = 1,146.68 × 399.28
  4. Step 4: Simplify right side
    764.18x = 457,846.39
  5. Step 5: Solve for x
    x = 457,846.39/764.18
  6. Step 6: Final answer
    x = 599.13

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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.