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Finding the Fourth Proportional to 1,149.02, 1,722.99 and 418.09

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Solution

The fourth proportional to 1,149.02, 1,722.99 and 418.09 is: 626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.02 : 1,722.99 = 418.09 : x
  2. Step 2: Convert to fraction form
    1,149.02/1,722.99 = 418.09/x
  3. Step 3: Cross multiply
    1,149.02x = 1,722.99 × 418.09
  4. Step 4: Simplify right side
    1,149.02x = 720,364.89
  5. Step 5: Solve for x
    x = 720,364.89/1,149.02
  6. Step 6: Final answer
    x = 626.94

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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.