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Finding the Fourth Proportional to 1,284.53, 1,927.26 and 504.90

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Solution

The fourth proportional to 1,284.53, 1,927.26 and 504.90 is: 757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.53 : 1,927.26 = 504.90 : x
  2. Step 2: Convert to fraction form
    1,284.53/1,927.26 = 504.90/x
  3. Step 3: Cross multiply
    1,284.53x = 1,927.26 × 504.90
  4. Step 4: Simplify right side
    1,284.53x = 973,073.57
  5. Step 5: Solve for x
    x = 973,073.57/1,284.53
  6. Step 6: Final answer
    x = 757.54

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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.