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Finding the Fourth Proportional to 1,807.96, 2,712 and 575.50

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Solution

The fourth proportional to 1,807.96, 2,712 and 575.50 is: 863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.96 : 2,712 = 575.50 : x
  2. Step 2: Convert to fraction form
    1,807.96/2,712 = 575.50/x
  3. Step 3: Cross multiply
    1,807.96x = 2,712 × 575.50
  4. Step 4: Simplify right side
    1,807.96x = 1,560,756
  5. Step 5: Solve for x
    x = 1,560,756/1,807.96
  6. Step 6: Final answer
    x = 863.27

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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.