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Finding the Fourth Proportional to 644.60, 965.10 and 579.80

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Solution

The fourth proportional to 644.60, 965.10 and 579.80 is: 868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.60 : 965.10 = 579.80 : x
  2. Step 2: Convert to fraction form
    644.60/965.10 = 579.80/x
  3. Step 3: Cross multiply
    644.60x = 965.10 × 579.80
  4. Step 4: Simplify right side
    644.60x = 559,564.98
  5. Step 5: Solve for x
    x = 559,564.98/644.60
  6. Step 6: Final answer
    x = 868.08

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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.