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Finding the Fourth Proportional to 1,177.05, 1,765.54 and 483.54

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Solution

The fourth proportional to 1,177.05, 1,765.54 and 483.54 is: 725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.05 : 1,765.54 = 483.54 : x
  2. Step 2: Convert to fraction form
    1,177.05/1,765.54 = 483.54/x
  3. Step 3: Cross multiply
    1,177.05x = 1,765.54 × 483.54
  4. Step 4: Simplify right side
    1,177.05x = 853,709.21
  5. Step 5: Solve for x
    x = 853,709.21/1,177.05
  6. Step 6: Final answer
    x = 725.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.