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Finding the Fourth Proportional to 1,198.20, 1,798.20 and 458.46

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Solution

The fourth proportional to 1,198.20, 1,798.20 and 458.46 is: 688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.20 : 1,798.20 = 458.46 : x
  2. Step 2: Convert to fraction form
    1,198.20/1,798.20 = 458.46/x
  3. Step 3: Cross multiply
    1,198.20x = 1,798.20 × 458.46
  4. Step 4: Simplify right side
    1,198.20x = 824,402.77
  5. Step 5: Solve for x
    x = 824,402.77/1,198.20
  6. Step 6: Final answer
    x = 688.03

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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.