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Finding the Fourth Proportional to 986.34, 1,478.59 and 466.09

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Solution

The fourth proportional to 986.34, 1,478.59 and 466.09 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.34 : 1,478.59 = 466.09 : x
  2. Step 2: Convert to fraction form
    986.34/1,478.59 = 466.09/x
  3. Step 3: Cross multiply
    986.34x = 1,478.59 × 466.09
  4. Step 4: Simplify right side
    986.34x = 689,151.15
  5. Step 5: Solve for x
    x = 689,151.15/986.34
  6. Step 6: Final answer
    x = 698.69

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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.