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Finding the Fourth Proportional to 771.01, 1,063.69 and 456.17

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Solution

The fourth proportional to 771.01, 1,063.69 and 456.17 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.01 : 1,063.69 = 456.17 : x
  2. Step 2: Convert to fraction form
    771.01/1,063.69 = 456.17/x
  3. Step 3: Cross multiply
    771.01x = 1,063.69 × 456.17
  4. Step 4: Simplify right side
    771.01x = 485,217.01
  5. Step 5: Solve for x
    x = 485,217.01/771.01
  6. Step 6: Final answer
    x = 629.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.