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Finding the Fourth Proportional to 753.12, 1,129.55 and 205.18

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Solution

The fourth proportional to 753.12, 1,129.55 and 205.18 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.12 : 1,129.55 = 205.18 : x
  2. Step 2: Convert to fraction form
    753.12/1,129.55 = 205.18/x
  3. Step 3: Cross multiply
    753.12x = 1,129.55 × 205.18
  4. Step 4: Simplify right side
    753.12x = 231,757.22
  5. Step 5: Solve for x
    x = 231,757.22/753.12
  6. Step 6: Final answer
    x = 307.73

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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.