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Finding the Fourth Proportional to 713.73, 985.02 and 451.80

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Solution

The fourth proportional to 713.73, 985.02 and 451.80 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 985.02 = 451.80 : x
  2. Step 2: Convert to fraction form
    713.73/985.02 = 451.80/x
  3. Step 3: Cross multiply
    713.73x = 985.02 × 451.80
  4. Step 4: Simplify right side
    713.73x = 445,032.04
  5. Step 5: Solve for x
    x = 445,032.04/713.73
  6. Step 6: Final answer
    x = 623.53

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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.