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Finding the Fourth Proportional to 767.92, 1,059.88 and 531.82

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Solution

The fourth proportional to 767.92, 1,059.88 and 531.82 is: 734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.92 : 1,059.88 = 531.82 : x
  2. Step 2: Convert to fraction form
    767.92/1,059.88 = 531.82/x
  3. Step 3: Cross multiply
    767.92x = 1,059.88 × 531.82
  4. Step 4: Simplify right side
    767.92x = 563,665.38
  5. Step 5: Solve for x
    x = 563,665.38/767.92
  6. Step 6: Final answer
    x = 734.02

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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.