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Finding the Fourth Proportional to 734.22, 1,013.85 and 538.74

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Solution

The fourth proportional to 734.22, 1,013.85 and 538.74 is: 743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.22 : 1,013.85 = 538.74 : x
  2. Step 2: Convert to fraction form
    734.22/1,013.85 = 538.74/x
  3. Step 3: Cross multiply
    734.22x = 1,013.85 × 538.74
  4. Step 4: Simplify right side
    734.22x = 546,201.55
  5. Step 5: Solve for x
    x = 546,201.55/734.22
  6. Step 6: Final answer
    x = 743.92

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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.