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Finding the Fourth Proportional to 773.98, 1,068.09 and 459.46

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Solution

The fourth proportional to 773.98, 1,068.09 and 459.46 is: 634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.98 : 1,068.09 = 459.46 : x
  2. Step 2: Convert to fraction form
    773.98/1,068.09 = 459.46/x
  3. Step 3: Cross multiply
    773.98x = 1,068.09 × 459.46
  4. Step 4: Simplify right side
    773.98x = 490,744.63
  5. Step 5: Solve for x
    x = 490,744.63/773.98
  6. Step 6: Final answer
    x = 634.05

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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.