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Finding the Fourth Proportional to 1,216.41, 1,823.24 and 485.15

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Solution

The fourth proportional to 1,216.41, 1,823.24 and 485.15 is: 727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.41 : 1,823.24 = 485.15 : x
  2. Step 2: Convert to fraction form
    1,216.41/1,823.24 = 485.15/x
  3. Step 3: Cross multiply
    1,216.41x = 1,823.24 × 485.15
  4. Step 4: Simplify right side
    1,216.41x = 884,533.34
  5. Step 5: Solve for x
    x = 884,533.34/1,216.41
  6. Step 6: Final answer
    x = 727.17

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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.