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Finding the Fourth Proportional to 1,064.70, 1,468.96 and 622.52

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Solution

The fourth proportional to 1,064.70, 1,468.96 and 622.52 is: 858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.70 : 1,468.96 = 622.52 : x
  2. Step 2: Convert to fraction form
    1,064.70/1,468.96 = 622.52/x
  3. Step 3: Cross multiply
    1,064.70x = 1,468.96 × 622.52
  4. Step 4: Simplify right side
    1,064.70x = 914,456.98
  5. Step 5: Solve for x
    x = 914,456.98/1,064.70
  6. Step 6: Final answer
    x = 858.89

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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.