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Finding the Fourth Proportional to 1,206.95, 1,809.81 and 589.73

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Solution

The fourth proportional to 1,206.95, 1,809.81 and 589.73 is: 884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.95 : 1,809.81 = 589.73 : x
  2. Step 2: Convert to fraction form
    1,206.95/1,809.81 = 589.73/x
  3. Step 3: Cross multiply
    1,206.95x = 1,809.81 × 589.73
  4. Step 4: Simplify right side
    1,206.95x = 1,067,290.20
  5. Step 5: Solve for x
    x = 1,067,290.20/1,206.95
  6. Step 6: Final answer
    x = 884.29

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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.