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Finding the Fourth Proportional to 734.05, 1,101.75 and 369.10

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Solution

The fourth proportional to 734.05, 1,101.75 and 369.10 is: 553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,101.75 = 369.10 : x
  2. Step 2: Convert to fraction form
    734.05/1,101.75 = 369.10/x
  3. Step 3: Cross multiply
    734.05x = 1,101.75 × 369.10
  4. Step 4: Simplify right side
    734.05x = 406,655.93
  5. Step 5: Solve for x
    x = 406,655.93/734.05
  6. Step 6: Final answer
    x = 553.99

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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.