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Finding the Fourth Proportional to 741.97, 1,104.53 and 706.60

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Solution

The fourth proportional to 741.97, 1,104.53 and 706.60 is: 1,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.97 : 1,104.53 = 706.60 : x
  2. Step 2: Convert to fraction form
    741.97/1,104.53 = 706.60/x
  3. Step 3: Cross multiply
    741.97x = 1,104.53 × 706.60
  4. Step 4: Simplify right side
    741.97x = 780,460.90
  5. Step 5: Solve for x
    x = 780,460.90/741.97
  6. Step 6: Final answer
    x = 1,051.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.