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Finding the Fourth Proportional to 734.59, 1,014.15 and 486.33

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Solution

The fourth proportional to 734.59, 1,014.15 and 486.33 is: 671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.59 : 1,014.15 = 486.33 : x
  2. Step 2: Convert to fraction form
    734.59/1,014.15 = 486.33/x
  3. Step 3: Cross multiply
    734.59x = 1,014.15 × 486.33
  4. Step 4: Simplify right side
    734.59x = 493,211.57
  5. Step 5: Solve for x
    x = 493,211.57/734.59
  6. Step 6: Final answer
    x = 671.41

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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.