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Finding the Fourth Proportional to 753.19, 1,129.65 and 205.24

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Solution

The fourth proportional to 753.19, 1,129.65 and 205.24 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.19 : 1,129.65 = 205.24 : x
  2. Step 2: Convert to fraction form
    753.19/1,129.65 = 205.24/x
  3. Step 3: Cross multiply
    753.19x = 1,129.65 × 205.24
  4. Step 4: Simplify right side
    753.19x = 231,851.55
  5. Step 5: Solve for x
    x = 231,851.55/753.19
  6. Step 6: Final answer
    x = 307.83

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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.