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Finding the Fourth Proportional to 705.68, 1,057.82 and 295.06

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Solution

The fourth proportional to 705.68, 1,057.82 and 295.06 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.68 : 1,057.82 = 295.06 : x
  2. Step 2: Convert to fraction form
    705.68/1,057.82 = 295.06/x
  3. Step 3: Cross multiply
    705.68x = 1,057.82 × 295.06
  4. Step 4: Simplify right side
    705.68x = 312,120.37
  5. Step 5: Solve for x
    x = 312,120.37/705.68
  6. Step 6: Final answer
    x = 442.30

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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.