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Finding the Fourth Proportional to 1,211.54, 1,816.92 and 389.63

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Solution

The fourth proportional to 1,211.54, 1,816.92 and 389.63 is: 584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.54 : 1,816.92 = 389.63 : x
  2. Step 2: Convert to fraction form
    1,211.54/1,816.92 = 389.63/x
  3. Step 3: Cross multiply
    1,211.54x = 1,816.92 × 389.63
  4. Step 4: Simplify right side
    1,211.54x = 707,917.46
  5. Step 5: Solve for x
    x = 707,917.46/1,211.54
  6. Step 6: Final answer
    x = 584.31

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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.