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Finding the Fourth Proportional to 1,183.17, 1,775.84 and 598.58

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Solution

The fourth proportional to 1,183.17, 1,775.84 and 598.58 is: 898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.17 : 1,775.84 = 598.58 : x
  2. Step 2: Convert to fraction form
    1,183.17/1,775.84 = 598.58/x
  3. Step 3: Cross multiply
    1,183.17x = 1,775.84 × 598.58
  4. Step 4: Simplify right side
    1,183.17x = 1,062,977.87
  5. Step 5: Solve for x
    x = 1,062,977.87/1,183.17
  6. Step 6: Final answer
    x = 898.42

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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.