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Finding the Fourth Proportional to 941.63, 1,411.92 and 422.14

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Solution

The fourth proportional to 941.63, 1,411.92 and 422.14 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.63 : 1,411.92 = 422.14 : x
  2. Step 2: Convert to fraction form
    941.63/1,411.92 = 422.14/x
  3. Step 3: Cross multiply
    941.63x = 1,411.92 × 422.14
  4. Step 4: Simplify right side
    941.63x = 596,022.46
  5. Step 5: Solve for x
    x = 596,022.46/941.63
  6. Step 6: Final answer
    x = 632.97

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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.