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Finding the Fourth Proportional to 1,317.60, 1,975.14 and 495.54

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Solution

The fourth proportional to 1,317.60, 1,975.14 and 495.54 is: 742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.60 : 1,975.14 = 495.54 : x
  2. Step 2: Convert to fraction form
    1,317.60/1,975.14 = 495.54/x
  3. Step 3: Cross multiply
    1,317.60x = 1,975.14 × 495.54
  4. Step 4: Simplify right side
    1,317.60x = 978,760.88
  5. Step 5: Solve for x
    x = 978,760.88/1,317.60
  6. Step 6: Final answer
    x = 742.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.