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Finding the Fourth Proportional to 764.32, 1,145.67 and 490.60

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Solution

The fourth proportional to 764.32, 1,145.67 and 490.60 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.32 : 1,145.67 = 490.60 : x
  2. Step 2: Convert to fraction form
    764.32/1,145.67 = 490.60/x
  3. Step 3: Cross multiply
    764.32x = 1,145.67 × 490.60
  4. Step 4: Simplify right side
    764.32x = 562,065.70
  5. Step 5: Solve for x
    x = 562,065.70/764.32
  6. Step 6: Final answer
    x = 735.38

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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.