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Finding the Fourth Proportional to 1,435.52, 1,977.84 and 1,198.64

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Solution

The fourth proportional to 1,435.52, 1,977.84 and 1,198.64 is: 1,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.52 : 1,977.84 = 1,198.64 : x
  2. Step 2: Convert to fraction form
    1,435.52/1,977.84 = 1,198.64/x
  3. Step 3: Cross multiply
    1,435.52x = 1,977.84 × 1,198.64
  4. Step 4: Simplify right side
    1,435.52x = 2,370,718.14
  5. Step 5: Solve for x
    x = 2,370,718.14/1,435.52
  6. Step 6: Final answer
    x = 1,651.47

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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.