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Finding the Fourth Proportional to 722.90, 997.52 and 460.82

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Solution

The fourth proportional to 722.90, 997.52 and 460.82 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.90 : 997.52 = 460.82 : x
  2. Step 2: Convert to fraction form
    722.90/997.52 = 460.82/x
  3. Step 3: Cross multiply
    722.90x = 997.52 × 460.82
  4. Step 4: Simplify right side
    722.90x = 459,669.87
  5. Step 5: Solve for x
    x = 459,669.87/722.90
  6. Step 6: Final answer
    x = 635.87

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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.