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Finding the Fourth Proportional to 1,198.74, 1,654.52 and 757.23

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Solution

The fourth proportional to 1,198.74, 1,654.52 and 757.23 is: 1,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.74 : 1,654.52 = 757.23 : x
  2. Step 2: Convert to fraction form
    1,198.74/1,654.52 = 757.23/x
  3. Step 3: Cross multiply
    1,198.74x = 1,654.52 × 757.23
  4. Step 4: Simplify right side
    1,198.74x = 1,252,852.18
  5. Step 5: Solve for x
    x = 1,252,852.18/1,198.74
  6. Step 6: Final answer
    x = 1,045.14

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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.