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Finding the Fourth Proportional to 943.32, 1,414.96 and 456.43

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Solution

The fourth proportional to 943.32, 1,414.96 and 456.43 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.32 : 1,414.96 = 456.43 : x
  2. Step 2: Convert to fraction form
    943.32/1,414.96 = 456.43/x
  3. Step 3: Cross multiply
    943.32x = 1,414.96 × 456.43
  4. Step 4: Simplify right side
    943.32x = 645,830.19
  5. Step 5: Solve for x
    x = 645,830.19/943.32
  6. Step 6: Final answer
    x = 684.64

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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.