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Finding the Fourth Proportional to 1,293.46, 1,938.62 and 599.18

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Solution

The fourth proportional to 1,293.46, 1,938.62 and 599.18 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.46 : 1,938.62 = 599.18 : x
  2. Step 2: Convert to fraction form
    1,293.46/1,938.62 = 599.18/x
  3. Step 3: Cross multiply
    1,293.46x = 1,938.62 × 599.18
  4. Step 4: Simplify right side
    1,293.46x = 1,161,582.33
  5. Step 5: Solve for x
    x = 1,161,582.33/1,293.46
  6. Step 6: Final answer
    x = 898.04

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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.