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Finding the Fourth Proportional to 1,201.26, 1,657.89 and 735.51

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Solution

The fourth proportional to 1,201.26, 1,657.89 and 735.51 is: 1,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.26 : 1,657.89 = 735.51 : x
  2. Step 2: Convert to fraction form
    1,201.26/1,657.89 = 735.51/x
  3. Step 3: Cross multiply
    1,201.26x = 1,657.89 × 735.51
  4. Step 4: Simplify right side
    1,201.26x = 1,219,394.67
  5. Step 5: Solve for x
    x = 1,219,394.67/1,201.26
  6. Step 6: Final answer
    x = 1,015.10

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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.