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Finding the Fourth Proportional to 1,355.00, 1,869.39 and 765.09

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Solution

The fourth proportional to 1,355.00, 1,869.39 and 765.09 is: 1,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.00 : 1,869.39 = 765.09 : x
  2. Step 2: Convert to fraction form
    1,355.00/1,869.39 = 765.09/x
  3. Step 3: Cross multiply
    1,355.00x = 1,869.39 × 765.09
  4. Step 4: Simplify right side
    1,355.00x = 1,430,251.60
  5. Step 5: Solve for x
    x = 1,430,251.60/1,355.00
  6. Step 6: Final answer
    x = 1,055.54

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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.