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Finding the Fourth Proportional to 734.75, 1,013.89 and 403.17

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Solution

The fourth proportional to 734.75, 1,013.89 and 403.17 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.75 : 1,013.89 = 403.17 : x
  2. Step 2: Convert to fraction form
    734.75/1,013.89 = 403.17/x
  3. Step 3: Cross multiply
    734.75x = 1,013.89 × 403.17
  4. Step 4: Simplify right side
    734.75x = 408,768.02
  5. Step 5: Solve for x
    x = 408,768.02/734.75
  6. Step 6: Final answer
    x = 556.34

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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.