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Finding the Fourth Proportional to 1,198.40, 1,798.28 and 582.24

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Solution

The fourth proportional to 1,198.40, 1,798.28 and 582.24 is: 873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.40 : 1,798.28 = 582.24 : x
  2. Step 2: Convert to fraction form
    1,198.40/1,798.28 = 582.24/x
  3. Step 3: Cross multiply
    1,198.40x = 1,798.28 × 582.24
  4. Step 4: Simplify right side
    1,198.40x = 1,047,030.55
  5. Step 5: Solve for x
    x = 1,047,030.55/1,198.40
  6. Step 6: Final answer
    x = 873.69

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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.