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Finding the Fourth Proportional to 1,198.89, 1,799.15 and 583.02

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Solution

The fourth proportional to 1,198.89, 1,799.15 and 583.02 is: 874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.89 : 1,799.15 = 583.02 : x
  2. Step 2: Convert to fraction form
    1,198.89/1,799.15 = 583.02/x
  3. Step 3: Cross multiply
    1,198.89x = 1,799.15 × 583.02
  4. Step 4: Simplify right side
    1,198.89x = 1,048,937.52
  5. Step 5: Solve for x
    x = 1,048,937.52/1,198.89
  6. Step 6: Final answer
    x = 874.92

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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.