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Finding the Fourth Proportional to 1,202.65, 1,801.85 and 836.73

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Solution

The fourth proportional to 1,202.65, 1,801.85 and 836.73 is: 1,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.65 : 1,801.85 = 836.73 : x
  2. Step 2: Convert to fraction form
    1,202.65/1,801.85 = 836.73/x
  3. Step 3: Cross multiply
    1,202.65x = 1,801.85 × 836.73
  4. Step 4: Simplify right side
    1,202.65x = 1,507,657.77
  5. Step 5: Solve for x
    x = 1,507,657.77/1,202.65
  6. Step 6: Final answer
    x = 1,253.62

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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.