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Finding the Fourth Proportional to 1,222.43, 1,833.65 and 297.99

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Solution

The fourth proportional to 1,222.43, 1,833.65 and 297.99 is: 446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.43 : 1,833.65 = 297.99 : x
  2. Step 2: Convert to fraction form
    1,222.43/1,833.65 = 297.99/x
  3. Step 3: Cross multiply
    1,222.43x = 1,833.65 × 297.99
  4. Step 4: Simplify right side
    1,222.43x = 546,407.87
  5. Step 5: Solve for x
    x = 546,407.87/1,222.43
  6. Step 6: Final answer
    x = 446.99

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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.