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Finding the Fourth Proportional to 1,209.12, 1,809.72 and 798.72

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Solution

The fourth proportional to 1,209.12, 1,809.72 and 798.72 is: 1,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.12 : 1,809.72 = 798.72 : x
  2. Step 2: Convert to fraction form
    1,209.12/1,809.72 = 798.72/x
  3. Step 3: Cross multiply
    1,209.12x = 1,809.72 × 798.72
  4. Step 4: Simplify right side
    1,209.12x = 1,445,459.56
  5. Step 5: Solve for x
    x = 1,445,459.56/1,209.12
  6. Step 6: Final answer
    x = 1,195.46

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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.