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Finding the Fourth Proportional to 713.73, 1,071.24 and 530.56

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Solution

The fourth proportional to 713.73, 1,071.24 and 530.56 is: 796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 1,071.24 = 530.56 : x
  2. Step 2: Convert to fraction form
    713.73/1,071.24 = 530.56/x
  3. Step 3: Cross multiply
    713.73x = 1,071.24 × 530.56
  4. Step 4: Simplify right side
    713.73x = 568,357.09
  5. Step 5: Solve for x
    x = 568,357.09/713.73
  6. Step 6: Final answer
    x = 796.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.