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Finding the Fourth Proportional to 713.57, 984.58 and 451.45

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Solution

The fourth proportional to 713.57, 984.58 and 451.45 is: 622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.57 : 984.58 = 451.45 : x
  2. Step 2: Convert to fraction form
    713.57/984.58 = 451.45/x
  3. Step 3: Cross multiply
    713.57x = 984.58 × 451.45
  4. Step 4: Simplify right side
    713.57x = 444,488.64
  5. Step 5: Solve for x
    x = 444,488.64/713.57
  6. Step 6: Final answer
    x = 622.91

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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.