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Finding the Fourth Proportional to 768.28, 1,152.60 and 549.16

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Solution

The fourth proportional to 768.28, 1,152.60 and 549.16 is: 823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.28 : 1,152.60 = 549.16 : x
  2. Step 2: Convert to fraction form
    768.28/1,152.60 = 549.16/x
  3. Step 3: Cross multiply
    768.28x = 1,152.60 × 549.16
  4. Step 4: Simplify right side
    768.28x = 632,961.82
  5. Step 5: Solve for x
    x = 632,961.82/768.28
  6. Step 6: Final answer
    x = 823.87

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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.