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Finding the Fourth Proportional to 1,021.80, 1,383.75 and 1,021.80

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Solution

The fourth proportional to 1,021.80, 1,383.75 and 1,021.80 is: 1,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.80 : 1,383.75 = 1,021.80 : x
  2. Step 2: Convert to fraction form
    1,021.80/1,383.75 = 1,021.80/x
  3. Step 3: Cross multiply
    1,021.80x = 1,383.75 × 1,021.80
  4. Step 4: Simplify right side
    1,021.80x = 1,413,915.75
  5. Step 5: Solve for x
    x = 1,413,915.75/1,021.80
  6. Step 6: Final answer
    x = 1,383.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.