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Finding the Fourth Proportional to 713.12, 984.24 and 451.76

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Solution

The fourth proportional to 713.12, 984.24 and 451.76 is: 623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 984.24 = 451.76 : x
  2. Step 2: Convert to fraction form
    713.12/984.24 = 451.76/x
  3. Step 3: Cross multiply
    713.12x = 984.24 × 451.76
  4. Step 4: Simplify right side
    713.12x = 444,640.26
  5. Step 5: Solve for x
    x = 444,640.26/713.12
  6. Step 6: Final answer
    x = 623.51

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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.