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Finding the Fourth Proportional to 1,299.08, 1,948.44 and 374.60

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Solution

The fourth proportional to 1,299.08, 1,948.44 and 374.60 is: 561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.08 : 1,948.44 = 374.60 : x
  2. Step 2: Convert to fraction form
    1,299.08/1,948.44 = 374.60/x
  3. Step 3: Cross multiply
    1,299.08x = 1,948.44 × 374.60
  4. Step 4: Simplify right side
    1,299.08x = 729,885.62
  5. Step 5: Solve for x
    x = 729,885.62/1,299.08
  6. Step 6: Final answer
    x = 561.85

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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.