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Finding the Fourth Proportional to 712.54, 981.84 and 525.73

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Solution

The fourth proportional to 712.54, 981.84 and 525.73 is: 724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.54 : 981.84 = 525.73 : x
  2. Step 2: Convert to fraction form
    712.54/981.84 = 525.73/x
  3. Step 3: Cross multiply
    712.54x = 981.84 × 525.73
  4. Step 4: Simplify right side
    712.54x = 516,185.94
  5. Step 5: Solve for x
    x = 516,185.94/712.54
  6. Step 6: Final answer
    x = 724.43

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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.