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Finding the Fourth Proportional to 1,103.00, 1,522.14 and 605.64

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Solution

The fourth proportional to 1,103.00, 1,522.14 and 605.64 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.00 : 1,522.14 = 605.64 : x
  2. Step 2: Convert to fraction form
    1,103.00/1,522.14 = 605.64/x
  3. Step 3: Cross multiply
    1,103.00x = 1,522.14 × 605.64
  4. Step 4: Simplify right side
    1,103.00x = 921,872.31
  5. Step 5: Solve for x
    x = 921,872.31/1,103.00
  6. Step 6: Final answer
    x = 835.79

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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.