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Finding the Fourth Proportional to 1,230.18, 1,846.21 and 450.92

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Solution

The fourth proportional to 1,230.18, 1,846.21 and 450.92 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.18 : 1,846.21 = 450.92 : x
  2. Step 2: Convert to fraction form
    1,230.18/1,846.21 = 450.92/x
  3. Step 3: Cross multiply
    1,230.18x = 1,846.21 × 450.92
  4. Step 4: Simplify right side
    1,230.18x = 832,486.96
  5. Step 5: Solve for x
    x = 832,486.96/1,230.18
  6. Step 6: Final answer
    x = 676.72

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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.