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Finding the Fourth Proportional to 1,299.57, 1,948.14 and 605.88

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Solution

The fourth proportional to 1,299.57, 1,948.14 and 605.88 is: 908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.57 : 1,948.14 = 605.88 : x
  2. Step 2: Convert to fraction form
    1,299.57/1,948.14 = 605.88/x
  3. Step 3: Cross multiply
    1,299.57x = 1,948.14 × 605.88
  4. Step 4: Simplify right side
    1,299.57x = 1,180,339.06
  5. Step 5: Solve for x
    x = 1,180,339.06/1,299.57
  6. Step 6: Final answer
    x = 908.25

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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.