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Finding the Fourth Proportional to 735.31, 1,102.67 and 215.13

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Solution

The fourth proportional to 735.31, 1,102.67 and 215.13 is: 322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.31 : 1,102.67 = 215.13 : x
  2. Step 2: Convert to fraction form
    735.31/1,102.67 = 215.13/x
  3. Step 3: Cross multiply
    735.31x = 1,102.67 × 215.13
  4. Step 4: Simplify right side
    735.31x = 237,217.40
  5. Step 5: Solve for x
    x = 237,217.40/735.31
  6. Step 6: Final answer
    x = 322.61

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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.