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Finding the Fourth Proportional to 735.10, 1,102.43 and 324.13

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Solution

The fourth proportional to 735.10, 1,102.43 and 324.13 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,102.43 = 324.13 : x
  2. Step 2: Convert to fraction form
    735.10/1,102.43 = 324.13/x
  3. Step 3: Cross multiply
    735.10x = 1,102.43 × 324.13
  4. Step 4: Simplify right side
    735.10x = 357,323.50
  5. Step 5: Solve for x
    x = 357,323.50/735.10
  6. Step 6: Final answer
    x = 486.09

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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.