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Finding the Fourth Proportional to 1,205.98, 1,809 and 588.94

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Solution

The fourth proportional to 1,205.98, 1,809 and 588.94 is: 883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.98 : 1,809 = 588.94 : x
  2. Step 2: Convert to fraction form
    1,205.98/1,809 = 588.94/x
  3. Step 3: Cross multiply
    1,205.98x = 1,809 × 588.94
  4. Step 4: Simplify right side
    1,205.98x = 1,065,392.46
  5. Step 5: Solve for x
    x = 1,065,392.46/1,205.98
  6. Step 6: Final answer
    x = 883.42

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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.