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Finding the Fourth Proportional to 1,214.27, 1,821.70 and 598.26

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Solution

The fourth proportional to 1,214.27, 1,821.70 and 598.26 is: 897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.27 : 1,821.70 = 598.26 : x
  2. Step 2: Convert to fraction form
    1,214.27/1,821.70 = 598.26/x
  3. Step 3: Cross multiply
    1,214.27x = 1,821.70 × 598.26
  4. Step 4: Simplify right side
    1,214.27x = 1,089,850.24
  5. Step 5: Solve for x
    x = 1,089,850.24/1,214.27
  6. Step 6: Final answer
    x = 897.54

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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.