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Finding the Fourth Proportional to 1,299.81, 1,949.60 and 375.62

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Solution

The fourth proportional to 1,299.81, 1,949.60 and 375.62 is: 563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.81 : 1,949.60 = 375.62 : x
  2. Step 2: Convert to fraction form
    1,299.81/1,949.60 = 375.62/x
  3. Step 3: Cross multiply
    1,299.81x = 1,949.60 × 375.62
  4. Step 4: Simplify right side
    1,299.81x = 732,308.75
  5. Step 5: Solve for x
    x = 732,308.75/1,299.81
  6. Step 6: Final answer
    x = 563.40

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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.