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Finding the Fourth Proportional to 1,608.16, 2,412.38 and 634.03

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Solution

The fourth proportional to 1,608.16, 2,412.38 and 634.03 is: 951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.16 : 2,412.38 = 634.03 : x
  2. Step 2: Convert to fraction form
    1,608.16/2,412.38 = 634.03/x
  3. Step 3: Cross multiply
    1,608.16x = 2,412.38 × 634.03
  4. Step 4: Simplify right side
    1,608.16x = 1,529,506.06
  5. Step 5: Solve for x
    x = 1,529,506.06/1,608.16
  6. Step 6: Final answer
    x = 951.09

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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.