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Finding the Fourth Proportional to 1,183.51, 1,775.27 and 414.01

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Solution

The fourth proportional to 1,183.51, 1,775.27 and 414.01 is: 621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.51 : 1,775.27 = 414.01 : x
  2. Step 2: Convert to fraction form
    1,183.51/1,775.27 = 414.01/x
  3. Step 3: Cross multiply
    1,183.51x = 1,775.27 × 414.01
  4. Step 4: Simplify right side
    1,183.51x = 734,979.53
  5. Step 5: Solve for x
    x = 734,979.53/1,183.51
  6. Step 6: Final answer
    x = 621.02

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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.