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Finding the Fourth Proportional to 734.85, 1,013.22 and 608.85

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Solution

The fourth proportional to 734.85, 1,013.22 and 608.85 is: 839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.85 : 1,013.22 = 608.85 : x
  2. Step 2: Convert to fraction form
    734.85/1,013.22 = 608.85/x
  3. Step 3: Cross multiply
    734.85x = 1,013.22 × 608.85
  4. Step 4: Simplify right side
    734.85x = 616,899.00
  5. Step 5: Solve for x
    x = 616,899.00/734.85
  6. Step 6: Final answer
    x = 839.49

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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.