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Finding the Fourth Proportional to 986.26, 1,478.74 and 465.57

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Solution

The fourth proportional to 986.26, 1,478.74 and 465.57 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.26 : 1,478.74 = 465.57 : x
  2. Step 2: Convert to fraction form
    986.26/1,478.74 = 465.57/x
  3. Step 3: Cross multiply
    986.26x = 1,478.74 × 465.57
  4. Step 4: Simplify right side
    986.26x = 688,456.98
  5. Step 5: Solve for x
    x = 688,456.98/986.26
  6. Step 6: Final answer
    x = 698.05

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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.