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Finding the Fourth Proportional to 764.23, 1,146.09 and 417.73

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Solution

The fourth proportional to 764.23, 1,146.09 and 417.73 is: 626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.23 : 1,146.09 = 417.73 : x
  2. Step 2: Convert to fraction form
    764.23/1,146.09 = 417.73/x
  3. Step 3: Cross multiply
    764.23x = 1,146.09 × 417.73
  4. Step 4: Simplify right side
    764.23x = 478,756.18
  5. Step 5: Solve for x
    x = 478,756.18/764.23
  6. Step 6: Final answer
    x = 626.46

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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.