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Finding the Fourth Proportional to 1,222.53, 1,688.49 and 828.87

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Solution

The fourth proportional to 1,222.53, 1,688.49 and 828.87 is: 1,144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.53 : 1,688.49 = 828.87 : x
  2. Step 2: Convert to fraction form
    1,222.53/1,688.49 = 828.87/x
  3. Step 3: Cross multiply
    1,222.53x = 1,688.49 × 828.87
  4. Step 4: Simplify right side
    1,222.53x = 1,399,534.56
  5. Step 5: Solve for x
    x = 1,399,534.56/1,222.53
  6. Step 6: Final answer
    x = 1,144.79

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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.