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Finding the Fourth Proportional to 1,224.65, 1,689.44 and 1,177.52

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Solution

The fourth proportional to 1,224.65, 1,689.44 and 1,177.52 is: 1,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.65 : 1,689.44 = 1,177.52 : x
  2. Step 2: Convert to fraction form
    1,224.65/1,689.44 = 1,177.52/x
  3. Step 3: Cross multiply
    1,224.65x = 1,689.44 × 1,177.52
  4. Step 4: Simplify right side
    1,224.65x = 1,989,335.05
  5. Step 5: Solve for x
    x = 1,989,335.05/1,224.65
  6. Step 6: Final answer
    x = 1,624.42

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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.