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Finding the Fourth Proportional to 735.14, 1,101.10 and 369.14

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Solution

The fourth proportional to 735.14, 1,101.10 and 369.14 is: 552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.14 : 1,101.10 = 369.14 : x
  2. Step 2: Convert to fraction form
    735.14/1,101.10 = 369.14/x
  3. Step 3: Cross multiply
    735.14x = 1,101.10 × 369.14
  4. Step 4: Simplify right side
    735.14x = 406,460.05
  5. Step 5: Solve for x
    x = 406,460.05/735.14
  6. Step 6: Final answer
    x = 552.90

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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.