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Finding the Fourth Proportional to 1,216.46, 1,824.71 and 485.61

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Solution

The fourth proportional to 1,216.46, 1,824.71 and 485.61 is: 728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.46 : 1,824.71 = 485.61 : x
  2. Step 2: Convert to fraction form
    1,216.46/1,824.71 = 485.61/x
  3. Step 3: Cross multiply
    1,216.46x = 1,824.71 × 485.61
  4. Step 4: Simplify right side
    1,216.46x = 886,095.00
  5. Step 5: Solve for x
    x = 886,095.00/1,216.46
  6. Step 6: Final answer
    x = 728.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.