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Finding the Fourth Proportional to 1,064.24, 1,468.56 and 622.09

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Solution

The fourth proportional to 1,064.24, 1,468.56 and 622.09 is: 858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.24 : 1,468.56 = 622.09 : x
  2. Step 2: Convert to fraction form
    1,064.24/1,468.56 = 622.09/x
  3. Step 3: Cross multiply
    1,064.24x = 1,468.56 × 622.09
  4. Step 4: Simplify right side
    1,064.24x = 913,576.49
  5. Step 5: Solve for x
    x = 913,576.49/1,064.24
  6. Step 6: Final answer
    x = 858.43

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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.