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Finding the Fourth Proportional to 712.25, 983.00 and 401.75

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Solution

The fourth proportional to 712.25, 983.00 and 401.75 is: 554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.25 : 983.00 = 401.75 : x
  2. Step 2: Convert to fraction form
    712.25/983.00 = 401.75/x
  3. Step 3: Cross multiply
    712.25x = 983.00 × 401.75
  4. Step 4: Simplify right side
    712.25x = 394,918.24
  5. Step 5: Solve for x
    x = 394,918.24/712.25
  6. Step 6: Final answer
    x = 554.47

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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.