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Finding the Fourth Proportional to 954.75, 1,317.57 and 605.43

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Solution

The fourth proportional to 954.75, 1,317.57 and 605.43 is: 835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.75 : 1,317.57 = 605.43 : x
  2. Step 2: Convert to fraction form
    954.75/1,317.57 = 605.43/x
  3. Step 3: Cross multiply
    954.75x = 1,317.57 × 605.43
  4. Step 4: Simplify right side
    954.75x = 797,696.41
  5. Step 5: Solve for x
    x = 797,696.41/954.75
  6. Step 6: Final answer
    x = 835.50

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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.