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Finding the Fourth Proportional to 764.16, 1,146.56 and 475.68

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Solution

The fourth proportional to 764.16, 1,146.56 and 475.68 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.16 : 1,146.56 = 475.68 : x
  2. Step 2: Convert to fraction form
    764.16/1,146.56 = 475.68/x
  3. Step 3: Cross multiply
    764.16x = 1,146.56 × 475.68
  4. Step 4: Simplify right side
    764.16x = 545,395.66
  5. Step 5: Solve for x
    x = 545,395.66/764.16
  6. Step 6: Final answer
    x = 713.72

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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.