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Finding the Fourth Proportional to 1,646.48, 2,469.88 and 620.48

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Solution

The fourth proportional to 1,646.48, 2,469.88 and 620.48 is: 930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.48 : 2,469.88 = 620.48 : x
  2. Step 2: Convert to fraction form
    1,646.48/2,469.88 = 620.48/x
  3. Step 3: Cross multiply
    1,646.48x = 2,469.88 × 620.48
  4. Step 4: Simplify right side
    1,646.48x = 1,532,511.14
  5. Step 5: Solve for x
    x = 1,532,511.14/1,646.48
  6. Step 6: Final answer
    x = 930.78

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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.