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Finding the Fourth Proportional to 1,216.67, 1,823.92 and 446.99

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Solution

The fourth proportional to 1,216.67, 1,823.92 and 446.99 is: 670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.67 : 1,823.92 = 446.99 : x
  2. Step 2: Convert to fraction form
    1,216.67/1,823.92 = 446.99/x
  3. Step 3: Cross multiply
    1,216.67x = 1,823.92 × 446.99
  4. Step 4: Simplify right side
    1,216.67x = 815,263.76
  5. Step 5: Solve for x
    x = 815,263.76/1,216.67
  6. Step 6: Final answer
    x = 670.08

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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.