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Finding the Fourth Proportional to 1,198.50, 1,798 and 582.64

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Solution

The fourth proportional to 1,198.50, 1,798 and 582.64 is: 874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.50 : 1,798 = 582.64 : x
  2. Step 2: Convert to fraction form
    1,198.50/1,798 = 582.64/x
  3. Step 3: Cross multiply
    1,198.50x = 1,798 × 582.64
  4. Step 4: Simplify right side
    1,198.50x = 1,047,586.72
  5. Step 5: Solve for x
    x = 1,047,586.72/1,198.50
  6. Step 6: Final answer
    x = 874.08

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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.