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Finding the Fourth Proportional to 1,103.25, 1,522.47 and 605.88

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Solution

The fourth proportional to 1,103.25, 1,522.47 and 605.88 is: 836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.25 : 1,522.47 = 605.88 : x
  2. Step 2: Convert to fraction form
    1,103.25/1,522.47 = 605.88/x
  3. Step 3: Cross multiply
    1,103.25x = 1,522.47 × 605.88
  4. Step 4: Simplify right side
    1,103.25x = 922,434.12
  5. Step 5: Solve for x
    x = 922,434.12/1,103.25
  6. Step 6: Final answer
    x = 836.11

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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.