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Finding the Fourth Proportional to 1,636.40, 2,454.30 and 466.30

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Solution

The fourth proportional to 1,636.40, 2,454.30 and 466.30 is: 699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.40 : 2,454.30 = 466.30 : x
  2. Step 2: Convert to fraction form
    1,636.40/2,454.30 = 466.30/x
  3. Step 3: Cross multiply
    1,636.40x = 2,454.30 × 466.30
  4. Step 4: Simplify right side
    1,636.40x = 1,144,440.09
  5. Step 5: Solve for x
    x = 1,144,440.09/1,636.40
  6. Step 6: Final answer
    x = 699.36

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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.