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Finding the Fourth Proportional to 767.98, 1,153.18 and 644.46

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Solution

The fourth proportional to 767.98, 1,153.18 and 644.46 is: 967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.98 : 1,153.18 = 644.46 : x
  2. Step 2: Convert to fraction form
    767.98/1,153.18 = 644.46/x
  3. Step 3: Cross multiply
    767.98x = 1,153.18 × 644.46
  4. Step 4: Simplify right side
    767.98x = 743,178.38
  5. Step 5: Solve for x
    x = 743,178.38/767.98
  6. Step 6: Final answer
    x = 967.71

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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.