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Finding the Fourth Proportional to 948.92, 1,422.16 and 537.94

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Solution

The fourth proportional to 948.92, 1,422.16 and 537.94 is: 806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.92 : 1,422.16 = 537.94 : x
  2. Step 2: Convert to fraction form
    948.92/1,422.16 = 537.94/x
  3. Step 3: Cross multiply
    948.92x = 1,422.16 × 537.94
  4. Step 4: Simplify right side
    948.92x = 765,037.18
  5. Step 5: Solve for x
    x = 765,037.18/948.92
  6. Step 6: Final answer
    x = 806.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.