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Finding the Fourth Proportional to 954.73, 1,317.49 and 540.73

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Solution

The fourth proportional to 954.73, 1,317.49 and 540.73 is: 746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.73 : 1,317.49 = 540.73 : x
  2. Step 2: Convert to fraction form
    954.73/1,317.49 = 540.73/x
  3. Step 3: Cross multiply
    954.73x = 1,317.49 × 540.73
  4. Step 4: Simplify right side
    954.73x = 712,406.37
  5. Step 5: Solve for x
    x = 712,406.37/954.73
  6. Step 6: Final answer
    x = 746.19

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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.