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Finding the Fourth Proportional to 1,299.28, 1,948.74 and 421.87

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Solution

The fourth proportional to 1,299.28, 1,948.74 and 421.87 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.28 : 1,948.74 = 421.87 : x
  2. Step 2: Convert to fraction form
    1,299.28/1,948.74 = 421.87/x
  3. Step 3: Cross multiply
    1,299.28x = 1,948.74 × 421.87
  4. Step 4: Simplify right side
    1,299.28x = 822,114.94
  5. Step 5: Solve for x
    x = 822,114.94/1,299.28
  6. Step 6: Final answer
    x = 632.75

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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.