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Finding the Fourth Proportional to 1,177.86, 1,765.38 and 484.11

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Solution

The fourth proportional to 1,177.86, 1,765.38 and 484.11 is: 725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.86 : 1,765.38 = 484.11 : x
  2. Step 2: Convert to fraction form
    1,177.86/1,765.38 = 484.11/x
  3. Step 3: Cross multiply
    1,177.86x = 1,765.38 × 484.11
  4. Step 4: Simplify right side
    1,177.86x = 854,638.11
  5. Step 5: Solve for x
    x = 854,638.11/1,177.86
  6. Step 6: Final answer
    x = 725.59

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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.