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Finding the Fourth Proportional to 734.67, 1,101.60 and 349.92

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Solution

The fourth proportional to 734.67, 1,101.60 and 349.92 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.67 : 1,101.60 = 349.92 : x
  2. Step 2: Convert to fraction form
    734.67/1,101.60 = 349.92/x
  3. Step 3: Cross multiply
    734.67x = 1,101.60 × 349.92
  4. Step 4: Simplify right side
    734.67x = 385,471.87
  5. Step 5: Solve for x
    x = 385,471.87/734.67
  6. Step 6: Final answer
    x = 524.69

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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.