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Finding the Fourth Proportional to 735.53, 1,102.53 and 540.24

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Solution

The fourth proportional to 735.53, 1,102.53 and 540.24 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.53 : 1,102.53 = 540.24 : x
  2. Step 2: Convert to fraction form
    735.53/1,102.53 = 540.24/x
  3. Step 3: Cross multiply
    735.53x = 1,102.53 × 540.24
  4. Step 4: Simplify right side
    735.53x = 595,633.56
  5. Step 5: Solve for x
    x = 595,633.56/735.53
  6. Step 6: Final answer
    x = 809.80

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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.