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Finding the Fourth Proportional to 1,383.75, 1,909.58 and 762.75

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Solution

The fourth proportional to 1,383.75, 1,909.58 and 762.75 is: 1,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.75 : 1,909.58 = 762.75 : x
  2. Step 2: Convert to fraction form
    1,383.75/1,909.58 = 762.75/x
  3. Step 3: Cross multiply
    1,383.75x = 1,909.58 × 762.75
  4. Step 4: Simplify right side
    1,383.75x = 1,456,528.33
  5. Step 5: Solve for x
    x = 1,456,528.33/1,383.75
  6. Step 6: Final answer
    x = 1,052.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.