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Finding the Fourth Proportional to 1,198.52, 1,653.70 and 701.14

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Solution

The fourth proportional to 1,198.52, 1,653.70 and 701.14 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.52 : 1,653.70 = 701.14 : x
  2. Step 2: Convert to fraction form
    1,198.52/1,653.70 = 701.14/x
  3. Step 3: Cross multiply
    1,198.52x = 1,653.70 × 701.14
  4. Step 4: Simplify right side
    1,198.52x = 1,159,475.22
  5. Step 5: Solve for x
    x = 1,159,475.22/1,198.52
  6. Step 6: Final answer
    x = 967.42

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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.