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Finding the Fourth Proportional to 1,201.56, 1,657.99 and 729.56

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Solution

The fourth proportional to 1,201.56, 1,657.99 and 729.56 is: 1,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.56 : 1,657.99 = 729.56 : x
  2. Step 2: Convert to fraction form
    1,201.56/1,657.99 = 729.56/x
  3. Step 3: Cross multiply
    1,201.56x = 1,657.99 × 729.56
  4. Step 4: Simplify right side
    1,201.56x = 1,209,600.97
  5. Step 5: Solve for x
    x = 1,209,600.97/1,201.56
  6. Step 6: Final answer
    x = 1,006.69

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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.