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Finding the Fourth Proportional to 1,103.13, 1,522.29 and 605.83

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Solution

The fourth proportional to 1,103.13, 1,522.29 and 605.83 is: 836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.13 : 1,522.29 = 605.83 : x
  2. Step 2: Convert to fraction form
    1,103.13/1,522.29 = 605.83/x
  3. Step 3: Cross multiply
    1,103.13x = 1,522.29 × 605.83
  4. Step 4: Simplify right side
    1,103.13x = 922,241.34
  5. Step 5: Solve for x
    x = 922,241.34/1,103.13
  6. Step 6: Final answer
    x = 836.02

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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.