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Finding the Fourth Proportional to 705.81, 974.25 and 506.82

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Solution

The fourth proportional to 705.81, 974.25 and 506.82 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.81 : 974.25 = 506.82 : x
  2. Step 2: Convert to fraction form
    705.81/974.25 = 506.82/x
  3. Step 3: Cross multiply
    705.81x = 974.25 × 506.82
  4. Step 4: Simplify right side
    705.81x = 493,769.39
  5. Step 5: Solve for x
    x = 493,769.39/705.81
  6. Step 6: Final answer
    x = 699.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.