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Finding the Fourth Proportional to 1,299.15, 1,947.17 and 750.20

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Solution

The fourth proportional to 1,299.15, 1,947.17 and 750.20 is: 1,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.15 : 1,947.17 = 750.20 : x
  2. Step 2: Convert to fraction form
    1,299.15/1,947.17 = 750.20/x
  3. Step 3: Cross multiply
    1,299.15x = 1,947.17 × 750.20
  4. Step 4: Simplify right side
    1,299.15x = 1,460,753.45
  5. Step 5: Solve for x
    x = 1,460,753.45/1,299.15
  6. Step 6: Final answer
    x = 1,124.39

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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.