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Finding the Fourth Proportional to 1,222, 1,830.72 and 605

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Solution

The fourth proportional to 1,222, 1,830.72 and 605 is: 906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222 : 1,830.72 = 605 : x
  2. Step 2: Convert to fraction form
    1,222/1,830.72 = 605/x
  3. Step 3: Cross multiply
    1,222x = 1,830.72 × 605
  4. Step 4: Simplify right side
    1,222x = 1,107,585.60
  5. Step 5: Solve for x
    x = 1,107,585.60/1,222
  6. Step 6: Final answer
    x = 906.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.