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Finding the Fourth Proportional to 1,290.22, 1,938.50 and 828.19

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Solution

The fourth proportional to 1,290.22, 1,938.50 and 828.19 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.22 : 1,938.50 = 828.19 : x
  2. Step 2: Convert to fraction form
    1,290.22/1,938.50 = 828.19/x
  3. Step 3: Cross multiply
    1,290.22x = 1,938.50 × 828.19
  4. Step 4: Simplify right side
    1,290.22x = 1,605,442.17
  5. Step 5: Solve for x
    x = 1,605,442.17/1,290.22
  6. Step 6: Final answer
    x = 1,244.32

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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.