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Finding the Fourth Proportional to 1,183.29, 1,774.70 and 1,124.75

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Solution

The fourth proportional to 1,183.29, 1,774.70 and 1,124.75 is: 1,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.29 : 1,774.70 = 1,124.75 : x
  2. Step 2: Convert to fraction form
    1,183.29/1,774.70 = 1,124.75/x
  3. Step 3: Cross multiply
    1,183.29x = 1,774.70 × 1,124.75
  4. Step 4: Simplify right side
    1,183.29x = 1,996,079.33
  5. Step 5: Solve for x
    x = 1,996,079.33/1,183.29
  6. Step 6: Final answer
    x = 1,686.89

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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.