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Finding the Fourth Proportional to 1,299.15, 1,947.57 and 568.15

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Solution

The fourth proportional to 1,299.15, 1,947.57 and 568.15 is: 851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.15 : 1,947.57 = 568.15 : x
  2. Step 2: Convert to fraction form
    1,299.15/1,947.57 = 568.15/x
  3. Step 3: Cross multiply
    1,299.15x = 1,947.57 × 568.15
  4. Step 4: Simplify right side
    1,299.15x = 1,106,504.19
  5. Step 5: Solve for x
    x = 1,106,504.19/1,299.15
  6. Step 6: Final answer
    x = 851.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.