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Finding the Fourth Proportional to 1,317.25, 1,975.88 and 547.75

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Solution

The fourth proportional to 1,317.25, 1,975.88 and 547.75 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.25 : 1,975.88 = 547.75 : x
  2. Step 2: Convert to fraction form
    1,317.25/1,975.88 = 547.75/x
  3. Step 3: Cross multiply
    1,317.25x = 1,975.88 × 547.75
  4. Step 4: Simplify right side
    1,317.25x = 1,082,288.27
  5. Step 5: Solve for x
    x = 1,082,288.27/1,317.25
  6. Step 6: Final answer
    x = 821.63

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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.