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Finding the Fourth Proportional to 713.56, 984.89 and 451.53

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Solution

The fourth proportional to 713.56, 984.89 and 451.53 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 984.89 = 451.53 : x
  2. Step 2: Convert to fraction form
    713.56/984.89 = 451.53/x
  3. Step 3: Cross multiply
    713.56x = 984.89 × 451.53
  4. Step 4: Simplify right side
    713.56x = 444,707.38
  5. Step 5: Solve for x
    x = 444,707.38/713.56
  6. Step 6: Final answer
    x = 623.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.