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Finding the Fourth Proportional to 1,205.75, 1,808.62 and 384.02

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Solution

The fourth proportional to 1,205.75, 1,808.62 and 384.02 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.75 : 1,808.62 = 384.02 : x
  2. Step 2: Convert to fraction form
    1,205.75/1,808.62 = 384.02/x
  3. Step 3: Cross multiply
    1,205.75x = 1,808.62 × 384.02
  4. Step 4: Simplify right side
    1,205.75x = 694,546.25
  5. Step 5: Solve for x
    x = 694,546.25/1,205.75
  6. Step 6: Final answer
    x = 576.03

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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.