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Finding the Fourth Proportional to 735.28, 1,095.72 and 734.06

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Solution

The fourth proportional to 735.28, 1,095.72 and 734.06 is: 1,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.28 : 1,095.72 = 734.06 : x
  2. Step 2: Convert to fraction form
    735.28/1,095.72 = 734.06/x
  3. Step 3: Cross multiply
    735.28x = 1,095.72 × 734.06
  4. Step 4: Simplify right side
    735.28x = 804,324.22
  5. Step 5: Solve for x
    x = 804,324.22/735.28
  6. Step 6: Final answer
    x = 1,093.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.