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Finding the Fourth Proportional to 1,176.43, 1,765.48 and 483.73

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Solution

The fourth proportional to 1,176.43, 1,765.48 and 483.73 is: 725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.43 : 1,765.48 = 483.73 : x
  2. Step 2: Convert to fraction form
    1,176.43/1,765.48 = 483.73/x
  3. Step 3: Cross multiply
    1,176.43x = 1,765.48 × 483.73
  4. Step 4: Simplify right side
    1,176.43x = 854,012.22
  5. Step 5: Solve for x
    x = 854,012.22/1,176.43
  6. Step 6: Final answer
    x = 725.94

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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.