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Finding the Fourth Proportional to 944.82, 1,415.94 and 456.96

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Solution

The fourth proportional to 944.82, 1,415.94 and 456.96 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.82 : 1,415.94 = 456.96 : x
  2. Step 2: Convert to fraction form
    944.82/1,415.94 = 456.96/x
  3. Step 3: Cross multiply
    944.82x = 1,415.94 × 456.96
  4. Step 4: Simplify right side
    944.82x = 647,027.94
  5. Step 5: Solve for x
    x = 647,027.94/944.82
  6. Step 6: Final answer
    x = 684.82

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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.