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Finding the Fourth Proportional to 753.26, 1,129.90 and 205.45

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Solution

The fourth proportional to 753.26, 1,129.90 and 205.45 is: 308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.26 : 1,129.90 = 205.45 : x
  2. Step 2: Convert to fraction form
    753.26/1,129.90 = 205.45/x
  3. Step 3: Cross multiply
    753.26x = 1,129.90 × 205.45
  4. Step 4: Simplify right side
    753.26x = 232,138.47
  5. Step 5: Solve for x
    x = 232,138.47/753.26
  6. Step 6: Final answer
    x = 308.18

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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.