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Finding the Fourth Proportional to 705.97, 1,059.03 and 295.24

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Solution

The fourth proportional to 705.97, 1,059.03 and 295.24 is: 442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 1,059.03 = 295.24 : x
  2. Step 2: Convert to fraction form
    705.97/1,059.03 = 295.24/x
  3. Step 3: Cross multiply
    705.97x = 1,059.03 × 295.24
  4. Step 4: Simplify right side
    705.97x = 312,661.25
  5. Step 5: Solve for x
    x = 312,661.25/705.97
  6. Step 6: Final answer
    x = 442.88

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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.