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Finding the Fourth Proportional to 1,205.88, 1,809.62 and 436.38

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Solution

The fourth proportional to 1,205.88, 1,809.62 and 436.38 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,809.62 = 436.38 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,809.62 = 436.38/x
  3. Step 3: Cross multiply
    1,205.88x = 1,809.62 × 436.38
  4. Step 4: Simplify right side
    1,205.88x = 789,681.98
  5. Step 5: Solve for x
    x = 789,681.98/1,205.88
  6. Step 6: Final answer
    x = 654.86

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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.