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Finding the Fourth Proportional to 1,214.21, 1,821.72 and 597.80

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Solution

The fourth proportional to 1,214.21, 1,821.72 and 597.80 is: 896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.21 : 1,821.72 = 597.80 : x
  2. Step 2: Convert to fraction form
    1,214.21/1,821.72 = 597.80/x
  3. Step 3: Cross multiply
    1,214.21x = 1,821.72 × 597.80
  4. Step 4: Simplify right side
    1,214.21x = 1,089,024.22
  5. Step 5: Solve for x
    x = 1,089,024.22/1,214.21
  6. Step 6: Final answer
    x = 896.90

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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.