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Finding the Fourth Proportional to 705.40, 1,057.71 and 211.74

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Solution

The fourth proportional to 705.40, 1,057.71 and 211.74 is: 317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.40 : 1,057.71 = 211.74 : x
  2. Step 2: Convert to fraction form
    705.40/1,057.71 = 211.74/x
  3. Step 3: Cross multiply
    705.40x = 1,057.71 × 211.74
  4. Step 4: Simplify right side
    705.40x = 223,956.34
  5. Step 5: Solve for x
    x = 223,956.34/705.40
  6. Step 6: Final answer
    x = 317.49

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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.