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Finding the Fourth Proportional to 1,198.92, 1,652.34 and 903.48

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Solution

The fourth proportional to 1,198.92, 1,652.34 and 903.48 is: 1,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.92 : 1,652.34 = 903.48 : x
  2. Step 2: Convert to fraction form
    1,198.92/1,652.34 = 903.48/x
  3. Step 3: Cross multiply
    1,198.92x = 1,652.34 × 903.48
  4. Step 4: Simplify right side
    1,198.92x = 1,492,856.14
  5. Step 5: Solve for x
    x = 1,492,856.14/1,198.92
  6. Step 6: Final answer
    x = 1,245.17

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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.