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Finding the Fourth Proportional to 1,636.48, 2,454.70 and 482.23

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Solution

The fourth proportional to 1,636.48, 2,454.70 and 482.23 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.48 : 2,454.70 = 482.23 : x
  2. Step 2: Convert to fraction form
    1,636.48/2,454.70 = 482.23/x
  3. Step 3: Cross multiply
    1,636.48x = 2,454.70 × 482.23
  4. Step 4: Simplify right side
    1,636.48x = 1,183,729.98
  5. Step 5: Solve for x
    x = 1,183,729.98/1,636.48
  6. Step 6: Final answer
    x = 723.34

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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.