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Finding the Fourth Proportional to 768.48, 1,154.94 and 639.28

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Solution

The fourth proportional to 768.48, 1,154.94 and 639.28 is: 960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.48 : 1,154.94 = 639.28 : x
  2. Step 2: Convert to fraction form
    768.48/1,154.94 = 639.28/x
  3. Step 3: Cross multiply
    768.48x = 1,154.94 × 639.28
  4. Step 4: Simplify right side
    768.48x = 738,330.04
  5. Step 5: Solve for x
    x = 738,330.04/768.48
  6. Step 6: Final answer
    x = 960.77

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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.