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Finding the Fourth Proportional to 735.64, 1,097.41 and 683.26

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Solution

The fourth proportional to 735.64, 1,097.41 and 683.26 is: 1,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.64 : 1,097.41 = 683.26 : x
  2. Step 2: Convert to fraction form
    735.64/1,097.41 = 683.26/x
  3. Step 3: Cross multiply
    735.64x = 1,097.41 × 683.26
  4. Step 4: Simplify right side
    735.64x = 749,816.36
  5. Step 5: Solve for x
    x = 749,816.36/735.64
  6. Step 6: Final answer
    x = 1,019.27

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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.