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Finding the Fourth Proportional to 746.83, 1,119.99 and 376.54

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Solution

The fourth proportional to 746.83, 1,119.99 and 376.54 is: 564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,119.99 = 376.54 : x
  2. Step 2: Convert to fraction form
    746.83/1,119.99 = 376.54/x
  3. Step 3: Cross multiply
    746.83x = 1,119.99 × 376.54
  4. Step 4: Simplify right side
    746.83x = 421,721.03
  5. Step 5: Solve for x
    x = 421,721.03/746.83
  6. Step 6: Final answer
    x = 564.68

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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.