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Finding the Fourth Proportional to 1,183.03, 1,774.33 and 349.92

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Solution

The fourth proportional to 1,183.03, 1,774.33 and 349.92 is: 524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.03 : 1,774.33 = 349.92 : x
  2. Step 2: Convert to fraction form
    1,183.03/1,774.33 = 349.92/x
  3. Step 3: Cross multiply
    1,183.03x = 1,774.33 × 349.92
  4. Step 4: Simplify right side
    1,183.03x = 620,873.55
  5. Step 5: Solve for x
    x = 620,873.55/1,183.03
  6. Step 6: Final answer
    x = 524.82

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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.