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Finding the Fourth Proportional to 1,608.26, 2,412.32 and 454.01

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Solution

The fourth proportional to 1,608.26, 2,412.32 and 454.01 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.26 : 2,412.32 = 454.01 : x
  2. Step 2: Convert to fraction form
    1,608.26/2,412.32 = 454.01/x
  3. Step 3: Cross multiply
    1,608.26x = 2,412.32 × 454.01
  4. Step 4: Simplify right side
    1,608.26x = 1,095,203.07
  5. Step 5: Solve for x
    x = 1,095,203.07/1,608.26
  6. Step 6: Final answer
    x = 680.99

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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.