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Finding the Fourth Proportional to 1,002.79, 1,504.75 and 418.22

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Solution

The fourth proportional to 1,002.79, 1,504.75 and 418.22 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.79 : 1,504.75 = 418.22 : x
  2. Step 2: Convert to fraction form
    1,002.79/1,504.75 = 418.22/x
  3. Step 3: Cross multiply
    1,002.79x = 1,504.75 × 418.22
  4. Step 4: Simplify right side
    1,002.79x = 629,316.55
  5. Step 5: Solve for x
    x = 629,316.55/1,002.79
  6. Step 6: Final answer
    x = 627.57

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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.