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Finding the Fourth Proportional to 1,284.92, 1,927.44 and 504.85

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Solution

The fourth proportional to 1,284.92, 1,927.44 and 504.85 is: 757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.92 : 1,927.44 = 504.85 : x
  2. Step 2: Convert to fraction form
    1,284.92/1,927.44 = 504.85/x
  3. Step 3: Cross multiply
    1,284.92x = 1,927.44 × 504.85
  4. Step 4: Simplify right side
    1,284.92x = 973,055.92
  5. Step 5: Solve for x
    x = 973,055.92/1,284.92
  6. Step 6: Final answer
    x = 757.29

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Why These Related Problems?

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