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Finding the Fourth Proportional to 1,198.23, 1,654.08 and 700.68

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Solution

The fourth proportional to 1,198.23, 1,654.08 and 700.68 is: 967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.23 : 1,654.08 = 700.68 : x
  2. Step 2: Convert to fraction form
    1,198.23/1,654.08 = 700.68/x
  3. Step 3: Cross multiply
    1,198.23x = 1,654.08 × 700.68
  4. Step 4: Simplify right side
    1,198.23x = 1,158,980.77
  5. Step 5: Solve for x
    x = 1,158,980.77/1,198.23
  6. Step 6: Final answer
    x = 967.24

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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.