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Finding the Fourth Proportional to 1,224.28, 1,834.74 and 454.36

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Solution

The fourth proportional to 1,224.28, 1,834.74 and 454.36 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.28 : 1,834.74 = 454.36 : x
  2. Step 2: Convert to fraction form
    1,224.28/1,834.74 = 454.36/x
  3. Step 3: Cross multiply
    1,224.28x = 1,834.74 × 454.36
  4. Step 4: Simplify right side
    1,224.28x = 833,632.47
  5. Step 5: Solve for x
    x = 833,632.47/1,224.28
  6. Step 6: Final answer
    x = 680.92

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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.