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Finding the Fourth Proportional to 777.67, 1,072.92 and 528.56

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Solution

The fourth proportional to 777.67, 1,072.92 and 528.56 is: 729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.67 : 1,072.92 = 528.56 : x
  2. Step 2: Convert to fraction form
    777.67/1,072.92 = 528.56/x
  3. Step 3: Cross multiply
    777.67x = 1,072.92 × 528.56
  4. Step 4: Simplify right side
    777.67x = 567,102.60
  5. Step 5: Solve for x
    x = 567,102.60/777.67
  6. Step 6: Final answer
    x = 729.23

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Why These Related Problems?

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