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Finding the Fourth Proportional to 1,299.11, 1,947.44 and 477.16

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Solution

The fourth proportional to 1,299.11, 1,947.44 and 477.16 is: 715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.11 : 1,947.44 = 477.16 : x
  2. Step 2: Convert to fraction form
    1,299.11/1,947.44 = 477.16/x
  3. Step 3: Cross multiply
    1,299.11x = 1,947.44 × 477.16
  4. Step 4: Simplify right side
    1,299.11x = 929,236.79
  5. Step 5: Solve for x
    x = 929,236.79/1,299.11
  6. Step 6: Final answer
    x = 715.29

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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.