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Finding the Fourth Proportional to 3,055, 4,582.53 and 746.50

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Solution

The fourth proportional to 3,055, 4,582.53 and 746.50 is: 1,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055 : 4,582.53 = 746.50 : x
  2. Step 2: Convert to fraction form
    3,055/4,582.53 = 746.50/x
  3. Step 3: Cross multiply
    3,055x = 4,582.53 × 746.50
  4. Step 4: Simplify right side
    3,055x = 3,420,858.65
  5. Step 5: Solve for x
    x = 3,420,858.65/3,055
  6. Step 6: Final answer
    x = 1,119.76

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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.