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Finding the Fourth Proportional to 705.73, 1,057.01 and 359.17

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Solution

The fourth proportional to 705.73, 1,057.01 and 359.17 is: 537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.73 : 1,057.01 = 359.17 : x
  2. Step 2: Convert to fraction form
    705.73/1,057.01 = 359.17/x
  3. Step 3: Cross multiply
    705.73x = 1,057.01 × 359.17
  4. Step 4: Simplify right side
    705.73x = 379,646.28
  5. Step 5: Solve for x
    x = 379,646.28/705.73
  6. Step 6: Final answer
    x = 537.95

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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.