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Finding the Fourth Proportional to 746.68, 1,120.53 and 259.73

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Solution

The fourth proportional to 746.68, 1,120.53 and 259.73 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,120.53 = 259.73 : x
  2. Step 2: Convert to fraction form
    746.68/1,120.53 = 259.73/x
  3. Step 3: Cross multiply
    746.68x = 1,120.53 × 259.73
  4. Step 4: Simplify right side
    746.68x = 291,035.26
  5. Step 5: Solve for x
    x = 291,035.26/746.68
  6. Step 6: Final answer
    x = 389.77

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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.