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Finding the Fourth Proportional to 1,202.56, 1,657.92 and 852.64

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Solution

The fourth proportional to 1,202.56, 1,657.92 and 852.64 is: 1,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.56 : 1,657.92 = 852.64 : x
  2. Step 2: Convert to fraction form
    1,202.56/1,657.92 = 852.64/x
  3. Step 3: Cross multiply
    1,202.56x = 1,657.92 × 852.64
  4. Step 4: Simplify right side
    1,202.56x = 1,413,608.91
  5. Step 5: Solve for x
    x = 1,413,608.91/1,202.56
  6. Step 6: Final answer
    x = 1,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.