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Finding the Fourth Proportional to 1,216.74, 1,823.67 and 729.48

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Solution

The fourth proportional to 1,216.74, 1,823.67 and 729.48 is: 1,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.74 : 1,823.67 = 729.48 : x
  2. Step 2: Convert to fraction form
    1,216.74/1,823.67 = 729.48/x
  3. Step 3: Cross multiply
    1,216.74x = 1,823.67 × 729.48
  4. Step 4: Simplify right side
    1,216.74x = 1,330,330.79
  5. Step 5: Solve for x
    x = 1,330,330.79/1,216.74
  6. Step 6: Final answer
    x = 1,093.36

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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.