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Finding the Fourth Proportional to 644.76, 890.33 and 522.05

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Solution

The fourth proportional to 644.76, 890.33 and 522.05 is: 720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 890.33 = 522.05 : x
  2. Step 2: Convert to fraction form
    644.76/890.33 = 522.05/x
  3. Step 3: Cross multiply
    644.76x = 890.33 × 522.05
  4. Step 4: Simplify right side
    644.76x = 464,789.71
  5. Step 5: Solve for x
    x = 464,789.71/644.76
  6. Step 6: Final answer
    x = 720.87

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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.