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Finding the Fourth Proportional to 1,183.50, 1,775.39 and 606.51

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Solution

The fourth proportional to 1,183.50, 1,775.39 and 606.51 is: 909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.50 : 1,775.39 = 606.51 : x
  2. Step 2: Convert to fraction form
    1,183.50/1,775.39 = 606.51/x
  3. Step 3: Cross multiply
    1,183.50x = 1,775.39 × 606.51
  4. Step 4: Simplify right side
    1,183.50x = 1,076,788.76
  5. Step 5: Solve for x
    x = 1,076,788.76/1,183.50
  6. Step 6: Final answer
    x = 909.83

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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.