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Finding the Fourth Proportional to 735.44, 1,101.24 and 505.04

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Solution

The fourth proportional to 735.44, 1,101.24 and 505.04 is: 756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.44 : 1,101.24 = 505.04 : x
  2. Step 2: Convert to fraction form
    735.44/1,101.24 = 505.04/x
  3. Step 3: Cross multiply
    735.44x = 1,101.24 × 505.04
  4. Step 4: Simplify right side
    735.44x = 556,170.25
  5. Step 5: Solve for x
    x = 556,170.25/735.44
  6. Step 6: Final answer
    x = 756.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.