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Finding the Fourth Proportional to 1,205.09, 1,806.95 and 474.27

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Solution

The fourth proportional to 1,205.09, 1,806.95 and 474.27 is: 711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.09 : 1,806.95 = 474.27 : x
  2. Step 2: Convert to fraction form
    1,205.09/1,806.95 = 474.27/x
  3. Step 3: Cross multiply
    1,205.09x = 1,806.95 × 474.27
  4. Step 4: Simplify right side
    1,205.09x = 856,982.18
  5. Step 5: Solve for x
    x = 856,982.18/1,205.09
  6. Step 6: Final answer
    x = 711.14

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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.