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Finding the Fourth Proportional to 768.68, 1,152.66 and 281.39

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Solution

The fourth proportional to 768.68, 1,152.66 and 281.39 is: 421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.68 : 1,152.66 = 281.39 : x
  2. Step 2: Convert to fraction form
    768.68/1,152.66 = 281.39/x
  3. Step 3: Cross multiply
    768.68x = 1,152.66 × 281.39
  4. Step 4: Simplify right side
    768.68x = 324,347.00
  5. Step 5: Solve for x
    x = 324,347.00/768.68
  6. Step 6: Final answer
    x = 421.95

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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.