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Finding the Fourth Proportional to 764.56, 1,055.12 and 515.44

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Solution

The fourth proportional to 764.56, 1,055.12 and 515.44 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.56 : 1,055.12 = 515.44 : x
  2. Step 2: Convert to fraction form
    764.56/1,055.12 = 515.44/x
  3. Step 3: Cross multiply
    764.56x = 1,055.12 × 515.44
  4. Step 4: Simplify right side
    764.56x = 543,851.05
  5. Step 5: Solve for x
    x = 543,851.05/764.56
  6. Step 6: Final answer
    x = 711.33

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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.