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Finding the Fourth Proportional to 1,222.55, 1,685.36 and 872.63

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Solution

The fourth proportional to 1,222.55, 1,685.36 and 872.63 is: 1,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.55 : 1,685.36 = 872.63 : x
  2. Step 2: Convert to fraction form
    1,222.55/1,685.36 = 872.63/x
  3. Step 3: Cross multiply
    1,222.55x = 1,685.36 × 872.63
  4. Step 4: Simplify right side
    1,222.55x = 1,470,689.45
  5. Step 5: Solve for x
    x = 1,470,689.45/1,222.55
  6. Step 6: Final answer
    x = 1,202.97

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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.