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Finding the Fourth Proportional to 1,198.17, 1,797.12 and 468.27

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Solution

The fourth proportional to 1,198.17, 1,797.12 and 468.27 is: 702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.17 : 1,797.12 = 468.27 : x
  2. Step 2: Convert to fraction form
    1,198.17/1,797.12 = 468.27/x
  3. Step 3: Cross multiply
    1,198.17x = 1,797.12 × 468.27
  4. Step 4: Simplify right side
    1,198.17x = 841,537.38
  5. Step 5: Solve for x
    x = 841,537.38/1,198.17
  6. Step 6: Final answer
    x = 702.35

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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.