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Finding the Fourth Proportional to 773.88, 1,068.01 and 459.21

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Solution

The fourth proportional to 773.88, 1,068.01 and 459.21 is: 633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.88 : 1,068.01 = 459.21 : x
  2. Step 2: Convert to fraction form
    773.88/1,068.01 = 459.21/x
  3. Step 3: Cross multiply
    773.88x = 1,068.01 × 459.21
  4. Step 4: Simplify right side
    773.88x = 490,435.53
  5. Step 5: Solve for x
    x = 490,435.53/773.88
  6. Step 6: Final answer
    x = 633.74

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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.