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Finding the Fourth Proportional to 734.37, 1,013.03 and 454.43

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Solution

The fourth proportional to 734.37, 1,013.03 and 454.43 is: 626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.37 : 1,013.03 = 454.43 : x
  2. Step 2: Convert to fraction form
    734.37/1,013.03 = 454.43/x
  3. Step 3: Cross multiply
    734.37x = 1,013.03 × 454.43
  4. Step 4: Simplify right side
    734.37x = 460,348.03
  5. Step 5: Solve for x
    x = 460,348.03/734.37
  6. Step 6: Final answer
    x = 626.86

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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.