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Finding the Fourth Proportional to 1,103.09, 1,522.28 and 605.74

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Solution

The fourth proportional to 1,103.09, 1,522.28 and 605.74 is: 835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.09 : 1,522.28 = 605.74 : x
  2. Step 2: Convert to fraction form
    1,103.09/1,522.28 = 605.74/x
  3. Step 3: Cross multiply
    1,103.09x = 1,522.28 × 605.74
  4. Step 4: Simplify right side
    1,103.09x = 922,099.05
  5. Step 5: Solve for x
    x = 922,099.05/1,103.09
  6. Step 6: Final answer
    x = 835.93

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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.