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Finding the Fourth Proportional to 1,230.41, 1,845.80 and 450.23

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Solution

The fourth proportional to 1,230.41, 1,845.80 and 450.23 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.41 : 1,845.80 = 450.23 : x
  2. Step 2: Convert to fraction form
    1,230.41/1,845.80 = 450.23/x
  3. Step 3: Cross multiply
    1,230.41x = 1,845.80 × 450.23
  4. Step 4: Simplify right side
    1,230.41x = 831,026.43
  5. Step 5: Solve for x
    x = 831,026.43/1,230.41
  6. Step 6: Final answer
    x = 675.41

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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.