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Finding the Fourth Proportional to 644.84, 968.34 and 575.54

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Solution

The fourth proportional to 644.84, 968.34 and 575.54 is: 864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 968.34 = 575.54 : x
  2. Step 2: Convert to fraction form
    644.84/968.34 = 575.54/x
  3. Step 3: Cross multiply
    644.84x = 968.34 × 575.54
  4. Step 4: Simplify right side
    644.84x = 557,318.40
  5. Step 5: Solve for x
    x = 557,318.40/644.84
  6. Step 6: Final answer
    x = 864.27

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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.