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Finding the Fourth Proportional to 1,205.43, 1,808.40 and 765.12

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Solution

The fourth proportional to 1,205.43, 1,808.40 and 765.12 is: 1,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.43 : 1,808.40 = 765.12 : x
  2. Step 2: Convert to fraction form
    1,205.43/1,808.40 = 765.12/x
  3. Step 3: Cross multiply
    1,205.43x = 1,808.40 × 765.12
  4. Step 4: Simplify right side
    1,205.43x = 1,383,643.01
  5. Step 5: Solve for x
    x = 1,383,643.01/1,205.43
  6. Step 6: Final answer
    x = 1,147.84

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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.