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Finding the Fourth Proportional to 1,253.36, 1,882.20 and 605.36

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Solution

The fourth proportional to 1,253.36, 1,882.20 and 605.36 is: 909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.36 : 1,882.20 = 605.36 : x
  2. Step 2: Convert to fraction form
    1,253.36/1,882.20 = 605.36/x
  3. Step 3: Cross multiply
    1,253.36x = 1,882.20 × 605.36
  4. Step 4: Simplify right side
    1,253.36x = 1,139,408.59
  5. Step 5: Solve for x
    x = 1,139,408.59/1,253.36
  6. Step 6: Final answer
    x = 909.08

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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.