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Finding the Fourth Proportional to 734.59, 1,101.47 and 301.64

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Solution

The fourth proportional to 734.59, 1,101.47 and 301.64 is: 452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.59 : 1,101.47 = 301.64 : x
  2. Step 2: Convert to fraction form
    734.59/1,101.47 = 301.64/x
  3. Step 3: Cross multiply
    734.59x = 1,101.47 × 301.64
  4. Step 4: Simplify right side
    734.59x = 332,247.41
  5. Step 5: Solve for x
    x = 332,247.41/734.59
  6. Step 6: Final answer
    x = 452.29

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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.