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Finding the Fourth Proportional to 1,299.18, 1,949.50 and 477.68

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Solution

The fourth proportional to 1,299.18, 1,949.50 and 477.68 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.18 : 1,949.50 = 477.68 : x
  2. Step 2: Convert to fraction form
    1,299.18/1,949.50 = 477.68/x
  3. Step 3: Cross multiply
    1,299.18x = 1,949.50 × 477.68
  4. Step 4: Simplify right side
    1,299.18x = 931,237.16
  5. Step 5: Solve for x
    x = 931,237.16/1,299.18
  6. Step 6: Final answer
    x = 716.79

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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.