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Finding the Fourth Proportional to 1,211.57, 1,816.58 and 389.78

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Solution

The fourth proportional to 1,211.57, 1,816.58 and 389.78 is: 584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.57 : 1,816.58 = 389.78 : x
  2. Step 2: Convert to fraction form
    1,211.57/1,816.58 = 389.78/x
  3. Step 3: Cross multiply
    1,211.57x = 1,816.58 × 389.78
  4. Step 4: Simplify right side
    1,211.57x = 708,055.52
  5. Step 5: Solve for x
    x = 708,055.52/1,211.57
  6. Step 6: Final answer
    x = 584.41

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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.