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Finding the Fourth Proportional to 1,299.03, 1,947.88 and 568.27

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Solution

The fourth proportional to 1,299.03, 1,947.88 and 568.27 is: 852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.03 : 1,947.88 = 568.27 : x
  2. Step 2: Convert to fraction form
    1,299.03/1,947.88 = 568.27/x
  3. Step 3: Cross multiply
    1,299.03x = 1,947.88 × 568.27
  4. Step 4: Simplify right side
    1,299.03x = 1,106,921.77
  5. Step 5: Solve for x
    x = 1,106,921.77/1,299.03
  6. Step 6: Final answer
    x = 852.11

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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.