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Finding the Fourth Proportional to 734.10, 1,102.05 and 728.70

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Solution

The fourth proportional to 734.10, 1,102.05 and 728.70 is: 1,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,102.05 = 728.70 : x
  2. Step 2: Convert to fraction form
    734.10/1,102.05 = 728.70/x
  3. Step 3: Cross multiply
    734.10x = 1,102.05 × 728.70
  4. Step 4: Simplify right side
    734.10x = 803,063.84
  5. Step 5: Solve for x
    x = 803,063.84/734.10
  6. Step 6: Final answer
    x = 1,093.94

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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.