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Finding the Fourth Proportional to 705.75, 1,057.82 and 380.45

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Solution

The fourth proportional to 705.75, 1,057.82 and 380.45 is: 570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 1,057.82 = 380.45 : x
  2. Step 2: Convert to fraction form
    705.75/1,057.82 = 380.45/x
  3. Step 3: Cross multiply
    705.75x = 1,057.82 × 380.45
  4. Step 4: Simplify right side
    705.75x = 402,440.43
  5. Step 5: Solve for x
    x = 402,440.43/705.75
  6. Step 6: Final answer
    x = 570.23

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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.