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Finding the Fourth Proportional to 1,201.23, 1,657.21 and 735.75

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Solution

The fourth proportional to 1,201.23, 1,657.21 and 735.75 is: 1,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.23 : 1,657.21 = 735.75 : x
  2. Step 2: Convert to fraction form
    1,201.23/1,657.21 = 735.75/x
  3. Step 3: Cross multiply
    1,201.23x = 1,657.21 × 735.75
  4. Step 4: Simplify right side
    1,201.23x = 1,219,292.26
  5. Step 5: Solve for x
    x = 1,219,292.26/1,201.23
  6. Step 6: Final answer
    x = 1,015.04

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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.