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Finding the Fourth Proportional to 1,453.98, 2,180.97 and 414.09

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Solution

The fourth proportional to 1,453.98, 2,180.97 and 414.09 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.98 : 2,180.97 = 414.09 : x
  2. Step 2: Convert to fraction form
    1,453.98/2,180.97 = 414.09/x
  3. Step 3: Cross multiply
    1,453.98x = 2,180.97 × 414.09
  4. Step 4: Simplify right side
    1,453.98x = 903,117.87
  5. Step 5: Solve for x
    x = 903,117.87/1,453.98
  6. Step 6: Final answer
    x = 621.14

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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.