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Finding the Fourth Proportional to 1,201.48, 1,657.22 and 735.96

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Solution

The fourth proportional to 1,201.48, 1,657.22 and 735.96 is: 1,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.48 : 1,657.22 = 735.96 : x
  2. Step 2: Convert to fraction form
    1,201.48/1,657.22 = 735.96/x
  3. Step 3: Cross multiply
    1,201.48x = 1,657.22 × 735.96
  4. Step 4: Simplify right side
    1,201.48x = 1,219,647.63
  5. Step 5: Solve for x
    x = 1,219,647.63/1,201.48
  6. Step 6: Final answer
    x = 1,015.12

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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.