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Finding the Fourth Proportional to 746.67, 1,119.87 and 472.41

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Solution

The fourth proportional to 746.67, 1,119.87 and 472.41 is: 708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.67 : 1,119.87 = 472.41 : x
  2. Step 2: Convert to fraction form
    746.67/1,119.87 = 472.41/x
  3. Step 3: Cross multiply
    746.67x = 1,119.87 × 472.41
  4. Step 4: Simplify right side
    746.67x = 529,037.79
  5. Step 5: Solve for x
    x = 529,037.79/746.67
  6. Step 6: Final answer
    x = 708.53

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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.