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Finding the Fourth Proportional to 764.64, 1,145.46 and 398.94

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Solution

The fourth proportional to 764.64, 1,145.46 and 398.94 is: 597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,145.46 = 398.94 : x
  2. Step 2: Convert to fraction form
    764.64/1,145.46 = 398.94/x
  3. Step 3: Cross multiply
    764.64x = 1,145.46 × 398.94
  4. Step 4: Simplify right side
    764.64x = 456,969.81
  5. Step 5: Solve for x
    x = 456,969.81/764.64
  6. Step 6: Final answer
    x = 597.63

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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.