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Finding the Fourth Proportional to 734.75, 1,014.08 and 424.43

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Solution

The fourth proportional to 734.75, 1,014.08 and 424.43 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.75 : 1,014.08 = 424.43 : x
  2. Step 2: Convert to fraction form
    734.75/1,014.08 = 424.43/x
  3. Step 3: Cross multiply
    734.75x = 1,014.08 × 424.43
  4. Step 4: Simplify right side
    734.75x = 430,403.85
  5. Step 5: Solve for x
    x = 430,403.85/734.75
  6. Step 6: Final answer
    x = 585.78

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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.