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Finding the Fourth Proportional to 1,224.14, 1,689.53 and 892.15

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Solution

The fourth proportional to 1,224.14, 1,689.53 and 892.15 is: 1,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.14 : 1,689.53 = 892.15 : x
  2. Step 2: Convert to fraction form
    1,224.14/1,689.53 = 892.15/x
  3. Step 3: Cross multiply
    1,224.14x = 1,689.53 × 892.15
  4. Step 4: Simplify right side
    1,224.14x = 1,507,305.50
  5. Step 5: Solve for x
    x = 1,507,305.50/1,224.14
  6. Step 6: Final answer
    x = 1,231.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.