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Finding the Fourth Proportional to 712.27, 982.97 and 537.31

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Solution

The fourth proportional to 712.27, 982.97 and 537.31 is: 741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 982.97 = 537.31 : x
  2. Step 2: Convert to fraction form
    712.27/982.97 = 537.31/x
  3. Step 3: Cross multiply
    712.27x = 982.97 × 537.31
  4. Step 4: Simplify right side
    712.27x = 528,159.61
  5. Step 5: Solve for x
    x = 528,159.61/712.27
  6. Step 6: Final answer
    x = 741.52

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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.