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Finding the Fourth Proportional to 705.97, 1,059.16 and 511.17

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Solution

The fourth proportional to 705.97, 1,059.16 and 511.17 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 1,059.16 = 511.17 : x
  2. Step 2: Convert to fraction form
    705.97/1,059.16 = 511.17/x
  3. Step 3: Cross multiply
    705.97x = 1,059.16 × 511.17
  4. Step 4: Simplify right side
    705.97x = 541,410.82
  5. Step 5: Solve for x
    x = 541,410.82/705.97
  6. Step 6: Final answer
    x = 766.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.