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Finding the Fourth Proportional to 644.54, 968.12 and 569.21

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Solution

The fourth proportional to 644.54, 968.12 and 569.21 is: 854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.54 : 968.12 = 569.21 : x
  2. Step 2: Convert to fraction form
    644.54/968.12 = 569.21/x
  3. Step 3: Cross multiply
    644.54x = 968.12 × 569.21
  4. Step 4: Simplify right side
    644.54x = 551,063.59
  5. Step 5: Solve for x
    x = 551,063.59/644.54
  6. Step 6: Final answer
    x = 854.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.