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Finding the Fourth Proportional to 1,302.05, 1,796.71 and 734.94

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Solution

The fourth proportional to 1,302.05, 1,796.71 and 734.94 is: 1,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.05 : 1,796.71 = 734.94 : x
  2. Step 2: Convert to fraction form
    1,302.05/1,796.71 = 734.94/x
  3. Step 3: Cross multiply
    1,302.05x = 1,796.71 × 734.94
  4. Step 4: Simplify right side
    1,302.05x = 1,320,474.05
  5. Step 5: Solve for x
    x = 1,320,474.05/1,302.05
  6. Step 6: Final answer
    x = 1,014.15

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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.