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Finding the Fourth Proportional to 768.03, 1,152.62 and 563.12

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Solution

The fourth proportional to 768.03, 1,152.62 and 563.12 is: 845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.03 : 1,152.62 = 563.12 : x
  2. Step 2: Convert to fraction form
    768.03/1,152.62 = 563.12/x
  3. Step 3: Cross multiply
    768.03x = 1,152.62 × 563.12
  4. Step 4: Simplify right side
    768.03x = 649,063.37
  5. Step 5: Solve for x
    x = 649,063.37/768.03
  6. Step 6: Final answer
    x = 845.10

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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.