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Finding the Fourth Proportional to 773.94, 1,068.52 and 537.82

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Solution

The fourth proportional to 773.94, 1,068.52 and 537.82 is: 742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.94 : 1,068.52 = 537.82 : x
  2. Step 2: Convert to fraction form
    773.94/1,068.52 = 537.82/x
  3. Step 3: Cross multiply
    773.94x = 1,068.52 × 537.82
  4. Step 4: Simplify right side
    773.94x = 574,671.43
  5. Step 5: Solve for x
    x = 574,671.43/773.94
  6. Step 6: Final answer
    x = 742.53

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