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Finding the Fourth Proportional to 1,224.54, 1,689.72 and 720.30

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Solution

The fourth proportional to 1,224.54, 1,689.72 and 720.30 is: 993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.54 : 1,689.72 = 720.30 : x
  2. Step 2: Convert to fraction form
    1,224.54/1,689.72 = 720.30/x
  3. Step 3: Cross multiply
    1,224.54x = 1,689.72 × 720.30
  4. Step 4: Simplify right side
    1,224.54x = 1,217,105.32
  5. Step 5: Solve for x
    x = 1,217,105.32/1,224.54
  6. Step 6: Final answer
    x = 993.93

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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.