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Finding the Fourth Proportional to 1,183.06, 1,774.31 and 524.57

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Solution

The fourth proportional to 1,183.06, 1,774.31 and 524.57 is: 786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.06 : 1,774.31 = 524.57 : x
  2. Step 2: Convert to fraction form
    1,183.06/1,774.31 = 524.57/x
  3. Step 3: Cross multiply
    1,183.06x = 1,774.31 × 524.57
  4. Step 4: Simplify right side
    1,183.06x = 930,751.61
  5. Step 5: Solve for x
    x = 930,751.61/1,183.06
  6. Step 6: Final answer
    x = 786.73

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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.