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Finding the Fourth Proportional to 1,634.51, 2,452.17 and 480.26

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Solution

The fourth proportional to 1,634.51, 2,452.17 and 480.26 is: 720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.51 : 2,452.17 = 480.26 : x
  2. Step 2: Convert to fraction form
    1,634.51/2,452.17 = 480.26/x
  3. Step 3: Cross multiply
    1,634.51x = 2,452.17 × 480.26
  4. Step 4: Simplify right side
    1,634.51x = 1,177,666.90
  5. Step 5: Solve for x
    x = 1,177,666.90/1,634.51
  6. Step 6: Final answer
    x = 720.50

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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.