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Finding the Fourth Proportional to 734.36, 1,012.97 and 635.94

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Solution

The fourth proportional to 734.36, 1,012.97 and 635.94 is: 877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.36 : 1,012.97 = 635.94 : x
  2. Step 2: Convert to fraction form
    734.36/1,012.97 = 635.94/x
  3. Step 3: Cross multiply
    734.36x = 1,012.97 × 635.94
  4. Step 4: Simplify right side
    734.36x = 644,184.96
  5. Step 5: Solve for x
    x = 644,184.96/734.36
  6. Step 6: Final answer
    x = 877.21

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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.