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Finding the Fourth Proportional to 782.64, 1,174.02 and 205.50

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Solution

The fourth proportional to 782.64, 1,174.02 and 205.50 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.64 : 1,174.02 = 205.50 : x
  2. Step 2: Convert to fraction form
    782.64/1,174.02 = 205.50/x
  3. Step 3: Cross multiply
    782.64x = 1,174.02 × 205.50
  4. Step 4: Simplify right side
    782.64x = 241,261.11
  5. Step 5: Solve for x
    x = 241,261.11/782.64
  6. Step 6: Final answer
    x = 308.27

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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.