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Finding the Fourth Proportional to 705.82, 1,059.06 and 315.78

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Solution

The fourth proportional to 705.82, 1,059.06 and 315.78 is: 473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.82 : 1,059.06 = 315.78 : x
  2. Step 2: Convert to fraction form
    705.82/1,059.06 = 315.78/x
  3. Step 3: Cross multiply
    705.82x = 1,059.06 × 315.78
  4. Step 4: Simplify right side
    705.82x = 334,429.97
  5. Step 5: Solve for x
    x = 334,429.97/705.82
  6. Step 6: Final answer
    x = 473.82

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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.