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Finding the Fourth Proportional to 1,299.18, 1,948.98 and 605.55

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Solution

The fourth proportional to 1,299.18, 1,948.98 and 605.55 is: 908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.18 : 1,948.98 = 605.55 : x
  2. Step 2: Convert to fraction form
    1,299.18/1,948.98 = 605.55/x
  3. Step 3: Cross multiply
    1,299.18x = 1,948.98 × 605.55
  4. Step 4: Simplify right side
    1,299.18x = 1,180,204.84
  5. Step 5: Solve for x
    x = 1,180,204.84/1,299.18
  6. Step 6: Final answer
    x = 908.42

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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.