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Finding the Fourth Proportional to 713.56, 985.58 and 516.76

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Solution

The fourth proportional to 713.56, 985.58 and 516.76 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 985.58 = 516.76 : x
  2. Step 2: Convert to fraction form
    713.56/985.58 = 516.76/x
  3. Step 3: Cross multiply
    713.56x = 985.58 × 516.76
  4. Step 4: Simplify right side
    713.56x = 509,308.32
  5. Step 5: Solve for x
    x = 509,308.32/713.56
  6. Step 6: Final answer
    x = 713.76

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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.