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Finding the Fourth Proportional to 1,103.03, 1,522.17 and 605.67

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Solution

The fourth proportional to 1,103.03, 1,522.17 and 605.67 is: 835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.03 : 1,522.17 = 605.67 : x
  2. Step 2: Convert to fraction form
    1,103.03/1,522.17 = 605.67/x
  3. Step 3: Cross multiply
    1,103.03x = 1,522.17 × 605.67
  4. Step 4: Simplify right side
    1,103.03x = 921,929.57
  5. Step 5: Solve for x
    x = 921,929.57/1,103.03
  6. Step 6: Final answer
    x = 835.82

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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.