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Finding the Fourth Proportional to 1,199.52, 1,653.60 and 867.42

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Solution

The fourth proportional to 1,199.52, 1,653.60 and 867.42 is: 1,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.52 : 1,653.60 = 867.42 : x
  2. Step 2: Convert to fraction form
    1,199.52/1,653.60 = 867.42/x
  3. Step 3: Cross multiply
    1,199.52x = 1,653.60 × 867.42
  4. Step 4: Simplify right side
    1,199.52x = 1,434,365.71
  5. Step 5: Solve for x
    x = 1,434,365.71/1,199.52
  6. Step 6: Final answer
    x = 1,195.78

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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.