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Finding the Fourth Proportional to 1,103.07, 1,522.24 and 605.75

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Solution

The fourth proportional to 1,103.07, 1,522.24 and 605.75 is: 835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.07 : 1,522.24 = 605.75 : x
  2. Step 2: Convert to fraction form
    1,103.07/1,522.24 = 605.75/x
  3. Step 3: Cross multiply
    1,103.07x = 1,522.24 × 605.75
  4. Step 4: Simplify right side
    1,103.07x = 922,102.20
  5. Step 5: Solve for x
    x = 922,102.20/1,103.07
  6. Step 6: Final answer
    x = 835.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.