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Finding the Fourth Proportional to 746.99, 1,030.83 and 415.41

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Solution

The fourth proportional to 746.99, 1,030.83 and 415.41 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.99 : 1,030.83 = 415.41 : x
  2. Step 2: Convert to fraction form
    746.99/1,030.83 = 415.41/x
  3. Step 3: Cross multiply
    746.99x = 1,030.83 × 415.41
  4. Step 4: Simplify right side
    746.99x = 428,217.09
  5. Step 5: Solve for x
    x = 428,217.09/746.99
  6. Step 6: Final answer
    x = 573.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.