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Finding the Fourth Proportional to 1,224.21, 1,834.58 and 607.31

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Solution

The fourth proportional to 1,224.21, 1,834.58 and 607.31 is: 910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.21 : 1,834.58 = 607.31 : x
  2. Step 2: Convert to fraction form
    1,224.21/1,834.58 = 607.31/x
  3. Step 3: Cross multiply
    1,224.21x = 1,834.58 × 607.31
  4. Step 4: Simplify right side
    1,224.21x = 1,114,146.57
  5. Step 5: Solve for x
    x = 1,114,146.57/1,224.21
  6. Step 6: Final answer
    x = 910.09

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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.