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Finding the Fourth Proportional to 1,183.15, 1,774.77 and 489.93

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Solution

The fourth proportional to 1,183.15, 1,774.77 and 489.93 is: 734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.15 : 1,774.77 = 489.93 : x
  2. Step 2: Convert to fraction form
    1,183.15/1,774.77 = 489.93/x
  3. Step 3: Cross multiply
    1,183.15x = 1,774.77 × 489.93
  4. Step 4: Simplify right side
    1,183.15x = 869,513.07
  5. Step 5: Solve for x
    x = 869,513.07/1,183.15
  6. Step 6: Final answer
    x = 734.91

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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.