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Finding the Fourth Proportional to 1,299.87, 1,948.68 and 477.72

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Solution

The fourth proportional to 1,299.87, 1,948.68 and 477.72 is: 716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.87 : 1,948.68 = 477.72 : x
  2. Step 2: Convert to fraction form
    1,299.87/1,948.68 = 477.72/x
  3. Step 3: Cross multiply
    1,299.87x = 1,948.68 × 477.72
  4. Step 4: Simplify right side
    1,299.87x = 930,923.41
  5. Step 5: Solve for x
    x = 930,923.41/1,299.87
  6. Step 6: Final answer
    x = 716.17

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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.