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Finding the Fourth Proportional to 1,198.18, 1,653.51 and 701.18

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Solution

The fourth proportional to 1,198.18, 1,653.51 and 701.18 is: 967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.18 : 1,653.51 = 701.18 : x
  2. Step 2: Convert to fraction form
    1,198.18/1,653.51 = 701.18/x
  3. Step 3: Cross multiply
    1,198.18x = 1,653.51 × 701.18
  4. Step 4: Simplify right side
    1,198.18x = 1,159,408.14
  5. Step 5: Solve for x
    x = 1,159,408.14/1,198.18
  6. Step 6: Final answer
    x = 967.64

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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.