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Finding the Fourth Proportional to 734.10, 1,102.67 and 709.50

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Solution

The fourth proportional to 734.10, 1,102.67 and 709.50 is: 1,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,102.67 = 709.50 : x
  2. Step 2: Convert to fraction form
    734.10/1,102.67 = 709.50/x
  3. Step 3: Cross multiply
    734.10x = 1,102.67 × 709.50
  4. Step 4: Simplify right side
    734.10x = 782,338.85
  5. Step 5: Solve for x
    x = 782,338.85/734.10
  6. Step 6: Final answer
    x = 1,065.71

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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.