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Finding the Fourth Proportional to 734.76, 1,102.32 and 345.02

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Solution

The fourth proportional to 734.76, 1,102.32 and 345.02 is: 517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,102.32 = 345.02 : x
  2. Step 2: Convert to fraction form
    734.76/1,102.32 = 345.02/x
  3. Step 3: Cross multiply
    734.76x = 1,102.32 × 345.02
  4. Step 4: Simplify right side
    734.76x = 380,316.93
  5. Step 5: Solve for x
    x = 380,316.93/734.76
  6. Step 6: Final answer
    x = 517.61

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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.