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Finding the Fourth Proportional to 734.69, 1,013.87 and 403.14

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Solution

The fourth proportional to 734.69, 1,013.87 and 403.14 is: 556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.69 : 1,013.87 = 403.14 : x
  2. Step 2: Convert to fraction form
    734.69/1,013.87 = 403.14/x
  3. Step 3: Cross multiply
    734.69x = 1,013.87 × 403.14
  4. Step 4: Simplify right side
    734.69x = 408,729.54
  5. Step 5: Solve for x
    x = 408,729.54/734.69
  6. Step 6: Final answer
    x = 556.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.