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Finding the Fourth Proportional to 1,215.49, 1,823.92 and 599.72

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Solution

The fourth proportional to 1,215.49, 1,823.92 and 599.72 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.49 : 1,823.92 = 599.72 : x
  2. Step 2: Convert to fraction form
    1,215.49/1,823.92 = 599.72/x
  3. Step 3: Cross multiply
    1,215.49x = 1,823.92 × 599.72
  4. Step 4: Simplify right side
    1,215.49x = 1,093,837.04
  5. Step 5: Solve for x
    x = 1,093,837.04/1,215.49
  6. Step 6: Final answer
    x = 899.91

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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.