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Finding the Fourth Proportional to 1,198.38, 1,653.76 and 700.93

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Solution

The fourth proportional to 1,198.38, 1,653.76 and 700.93 is: 967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.38 : 1,653.76 = 700.93 : x
  2. Step 2: Convert to fraction form
    1,198.38/1,653.76 = 700.93/x
  3. Step 3: Cross multiply
    1,198.38x = 1,653.76 × 700.93
  4. Step 4: Simplify right side
    1,198.38x = 1,159,170.00
  5. Step 5: Solve for x
    x = 1,159,170.00/1,198.38
  6. Step 6: Final answer
    x = 967.28

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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.