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Finding the Fourth Proportional to 713.02, 984.75 and 451.18

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Solution

The fourth proportional to 713.02, 984.75 and 451.18 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.02 : 984.75 = 451.18 : x
  2. Step 2: Convert to fraction form
    713.02/984.75 = 451.18/x
  3. Step 3: Cross multiply
    713.02x = 984.75 × 451.18
  4. Step 4: Simplify right side
    713.02x = 444,299.51
  5. Step 5: Solve for x
    x = 444,299.51/713.02
  6. Step 6: Final answer
    x = 623.12

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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.