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Finding the Fourth Proportional to 1,284.72, 1,927.17 and 504.96

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Solution

The fourth proportional to 1,284.72, 1,927.17 and 504.96 is: 757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.72 : 1,927.17 = 504.96 : x
  2. Step 2: Convert to fraction form
    1,284.72/1,927.17 = 504.96/x
  3. Step 3: Cross multiply
    1,284.72x = 1,927.17 × 504.96
  4. Step 4: Simplify right side
    1,284.72x = 973,143.76
  5. Step 5: Solve for x
    x = 973,143.76/1,284.72
  6. Step 6: Final answer
    x = 757.48

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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.