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Finding the Fourth Proportional to 1,002.90, 1,504.83 and 418.35

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Solution

The fourth proportional to 1,002.90, 1,504.83 and 418.35 is: 627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.90 : 1,504.83 = 418.35 : x
  2. Step 2: Convert to fraction form
    1,002.90/1,504.83 = 418.35/x
  3. Step 3: Cross multiply
    1,002.90x = 1,504.83 × 418.35
  4. Step 4: Simplify right side
    1,002.90x = 629,545.63
  5. Step 5: Solve for x
    x = 629,545.63/1,002.90
  6. Step 6: Final answer
    x = 627.73

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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.