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Finding the Fourth Proportional to 943.98, 1,414.08 and 455.58

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Solution

The fourth proportional to 943.98, 1,414.08 and 455.58 is: 682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.98 : 1,414.08 = 455.58 : x
  2. Step 2: Convert to fraction form
    943.98/1,414.08 = 455.58/x
  3. Step 3: Cross multiply
    943.98x = 1,414.08 × 455.58
  4. Step 4: Simplify right side
    943.98x = 644,226.57
  5. Step 5: Solve for x
    x = 644,226.57/943.98
  6. Step 6: Final answer
    x = 682.46

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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.