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Finding the Fourth Proportional to 768.76, 1,154.17 and 423.32

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Solution

The fourth proportional to 768.76, 1,154.17 and 423.32 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.76 : 1,154.17 = 423.32 : x
  2. Step 2: Convert to fraction form
    768.76/1,154.17 = 423.32/x
  3. Step 3: Cross multiply
    768.76x = 1,154.17 × 423.32
  4. Step 4: Simplify right side
    768.76x = 488,581.13
  5. Step 5: Solve for x
    x = 488,581.13/768.76
  6. Step 6: Final answer
    x = 635.54

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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.