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Finding the Fourth Proportional to 735.07, 1,102.61 and 302.13

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Solution

The fourth proportional to 735.07, 1,102.61 and 302.13 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.07 : 1,102.61 = 302.13 : x
  2. Step 2: Convert to fraction form
    735.07/1,102.61 = 302.13/x
  3. Step 3: Cross multiply
    735.07x = 1,102.61 × 302.13
  4. Step 4: Simplify right side
    735.07x = 333,131.56
  5. Step 5: Solve for x
    x = 333,131.56/735.07
  6. Step 6: Final answer
    x = 453.20

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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.