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Finding the Fourth Proportional to 1,202.45, 1,804.26 and 856.76

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Solution

The fourth proportional to 1,202.45, 1,804.26 and 856.76 is: 1,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.45 : 1,804.26 = 856.76 : x
  2. Step 2: Convert to fraction form
    1,202.45/1,804.26 = 856.76/x
  3. Step 3: Cross multiply
    1,202.45x = 1,804.26 × 856.76
  4. Step 4: Simplify right side
    1,202.45x = 1,545,817.80
  5. Step 5: Solve for x
    x = 1,545,817.80/1,202.45
  6. Step 6: Final answer
    x = 1,285.56

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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.