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Finding the Fourth Proportional to 1,198.89, 1,654.39 and 675.02

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Solution

The fourth proportional to 1,198.89, 1,654.39 and 675.02 is: 931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.89 : 1,654.39 = 675.02 : x
  2. Step 2: Convert to fraction form
    1,198.89/1,654.39 = 675.02/x
  3. Step 3: Cross multiply
    1,198.89x = 1,654.39 × 675.02
  4. Step 4: Simplify right side
    1,198.89x = 1,116,746.34
  5. Step 5: Solve for x
    x = 1,116,746.34/1,198.89
  6. Step 6: Final answer
    x = 931.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.