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Finding the Fourth Proportional to 767.10, 1,059.03 and 531.42

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Solution

The fourth proportional to 767.10, 1,059.03 and 531.42 is: 733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.10 : 1,059.03 = 531.42 : x
  2. Step 2: Convert to fraction form
    767.10/1,059.03 = 531.42/x
  3. Step 3: Cross multiply
    767.10x = 1,059.03 × 531.42
  4. Step 4: Simplify right side
    767.10x = 562,789.72
  5. Step 5: Solve for x
    x = 562,789.72/767.10
  6. Step 6: Final answer
    x = 733.66

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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.