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Finding the Fourth Proportional to 1,224.99, 1,690.83 and 727.91

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Solution

The fourth proportional to 1,224.99, 1,690.83 and 727.91 is: 1,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.99 : 1,690.83 = 727.91 : x
  2. Step 2: Convert to fraction form
    1,224.99/1,690.83 = 727.91/x
  3. Step 3: Cross multiply
    1,224.99x = 1,690.83 × 727.91
  4. Step 4: Simplify right side
    1,224.99x = 1,230,768.43
  5. Step 5: Solve for x
    x = 1,230,768.43/1,224.99
  6. Step 6: Final answer
    x = 1,004.72

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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.