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Finding the Fourth Proportional to 734.13, 1,012.82 and 485.60

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Solution

The fourth proportional to 734.13, 1,012.82 and 485.60 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,012.82 = 485.60 : x
  2. Step 2: Convert to fraction form
    734.13/1,012.82 = 485.60/x
  3. Step 3: Cross multiply
    734.13x = 1,012.82 × 485.60
  4. Step 4: Simplify right side
    734.13x = 491,817.90
  5. Step 5: Solve for x
    x = 491,817.90/734.13
  6. Step 6: Final answer
    x = 669.93

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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.