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Finding the Fourth Proportional to 734.59, 1,101.48 and 301.51

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Solution

The fourth proportional to 734.59, 1,101.48 and 301.51 is: 452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.59 : 1,101.48 = 301.51 : x
  2. Step 2: Convert to fraction form
    734.59/1,101.48 = 301.51/x
  3. Step 3: Cross multiply
    734.59x = 1,101.48 × 301.51
  4. Step 4: Simplify right side
    734.59x = 332,107.23
  5. Step 5: Solve for x
    x = 332,107.23/734.59
  6. Step 6: Final answer
    x = 452.10

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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.