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Finding the Fourth Proportional to 705.89, 1,059.14 and 295.11

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Solution

The fourth proportional to 705.89, 1,059.14 and 295.11 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 1,059.14 = 295.11 : x
  2. Step 2: Convert to fraction form
    705.89/1,059.14 = 295.11/x
  3. Step 3: Cross multiply
    705.89x = 1,059.14 × 295.11
  4. Step 4: Simplify right side
    705.89x = 312,563.54
  5. Step 5: Solve for x
    x = 312,563.54/705.89
  6. Step 6: Final answer
    x = 442.79

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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.