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Finding the Fourth Proportional to 1,224.22, 1,835.72 and 607.22

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Solution

The fourth proportional to 1,224.22, 1,835.72 and 607.22 is: 910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.22 : 1,835.72 = 607.22 : x
  2. Step 2: Convert to fraction form
    1,224.22/1,835.72 = 607.22/x
  3. Step 3: Cross multiply
    1,224.22x = 1,835.72 × 607.22
  4. Step 4: Simplify right side
    1,224.22x = 1,114,685.90
  5. Step 5: Solve for x
    x = 1,114,685.90/1,224.22
  6. Step 6: Final answer
    x = 910.53

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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.