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Finding the Fourth Proportional to 1,103.15, 1,522.25 and 605.79

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Solution

The fourth proportional to 1,103.15, 1,522.25 and 605.79 is: 835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.15 : 1,522.25 = 605.79 : x
  2. Step 2: Convert to fraction form
    1,103.15/1,522.25 = 605.79/x
  3. Step 3: Cross multiply
    1,103.15x = 1,522.25 × 605.79
  4. Step 4: Simplify right side
    1,103.15x = 922,153.19
  5. Step 5: Solve for x
    x = 922,153.19/1,103.15
  6. Step 6: Final answer
    x = 835.93

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