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Finding the Fourth Proportional to 1,215.54, 1,823.79 and 728.94

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Solution

The fourth proportional to 1,215.54, 1,823.79 and 728.94 is: 1,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.54 : 1,823.79 = 728.94 : x
  2. Step 2: Convert to fraction form
    1,215.54/1,823.79 = 728.94/x
  3. Step 3: Cross multiply
    1,215.54x = 1,823.79 × 728.94
  4. Step 4: Simplify right side
    1,215.54x = 1,329,433.48
  5. Step 5: Solve for x
    x = 1,329,433.48/1,215.54
  6. Step 6: Final answer
    x = 1,093.70

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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.