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Finding the Fourth Proportional to 777.26, 1,072.08 and 528.44

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Solution

The fourth proportional to 777.26, 1,072.08 and 528.44 is: 728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.26 : 1,072.08 = 528.44 : x
  2. Step 2: Convert to fraction form
    777.26/1,072.08 = 528.44/x
  3. Step 3: Cross multiply
    777.26x = 1,072.08 × 528.44
  4. Step 4: Simplify right side
    777.26x = 566,529.96
  5. Step 5: Solve for x
    x = 566,529.96/777.26
  6. Step 6: Final answer
    x = 728.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.