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Finding the Fourth Proportional to 1,183.67, 1,773.07 and 597.85

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Solution

The fourth proportional to 1,183.67, 1,773.07 and 597.85 is: 895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.67 : 1,773.07 = 597.85 : x
  2. Step 2: Convert to fraction form
    1,183.67/1,773.07 = 597.85/x
  3. Step 3: Cross multiply
    1,183.67x = 1,773.07 × 597.85
  4. Step 4: Simplify right side
    1,183.67x = 1,060,029.90
  5. Step 5: Solve for x
    x = 1,060,029.90/1,183.67
  6. Step 6: Final answer
    x = 895.55

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Why These Related Problems?

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