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Finding the Fourth Proportional to 746.25, 1,119.74 and 417.44

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Solution

The fourth proportional to 746.25, 1,119.74 and 417.44 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.25 : 1,119.74 = 417.44 : x
  2. Step 2: Convert to fraction form
    746.25/1,119.74 = 417.44/x
  3. Step 3: Cross multiply
    746.25x = 1,119.74 × 417.44
  4. Step 4: Simplify right side
    746.25x = 467,424.27
  5. Step 5: Solve for x
    x = 467,424.27/746.25
  6. Step 6: Final answer
    x = 626.36

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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.