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Finding the Fourth Proportional to 798.51, 1,198.64 and 635.03

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Solution

The fourth proportional to 798.51, 1,198.64 and 635.03 is: 953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.51 : 1,198.64 = 635.03 : x
  2. Step 2: Convert to fraction form
    798.51/1,198.64 = 635.03/x
  3. Step 3: Cross multiply
    798.51x = 1,198.64 × 635.03
  4. Step 4: Simplify right side
    798.51x = 761,172.36
  5. Step 5: Solve for x
    x = 761,172.36/798.51
  6. Step 6: Final answer
    x = 953.24

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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.