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Finding the Fourth Proportional to 1,636.53, 2,454.63 and 466.44

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Solution

The fourth proportional to 1,636.53, 2,454.63 and 466.44 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.53 : 2,454.63 = 466.44 : x
  2. Step 2: Convert to fraction form
    1,636.53/2,454.63 = 466.44/x
  3. Step 3: Cross multiply
    1,636.53x = 2,454.63 × 466.44
  4. Step 4: Simplify right side
    1,636.53x = 1,144,937.62
  5. Step 5: Solve for x
    x = 1,144,937.62/1,636.53
  6. Step 6: Final answer
    x = 699.61

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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.