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Finding the Fourth Proportional to 767.76, 1,152.04 and 305.78

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Solution

The fourth proportional to 767.76, 1,152.04 and 305.78 is: 458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,152.04 = 305.78 : x
  2. Step 2: Convert to fraction form
    767.76/1,152.04 = 305.78/x
  3. Step 3: Cross multiply
    767.76x = 1,152.04 × 305.78
  4. Step 4: Simplify right side
    767.76x = 352,270.79
  5. Step 5: Solve for x
    x = 352,270.79/767.76
  6. Step 6: Final answer
    x = 458.83

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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.