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Finding the Fourth Proportional to 1,213.09, 1,817.66 and 848.29

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Solution

The fourth proportional to 1,213.09, 1,817.66 and 848.29 is: 1,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.09 : 1,817.66 = 848.29 : x
  2. Step 2: Convert to fraction form
    1,213.09/1,817.66 = 848.29/x
  3. Step 3: Cross multiply
    1,213.09x = 1,817.66 × 848.29
  4. Step 4: Simplify right side
    1,213.09x = 1,541,889.47
  5. Step 5: Solve for x
    x = 1,541,889.47/1,213.09
  6. Step 6: Final answer
    x = 1,271.05

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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.