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Finding the Fourth Proportional to 782.43, 1,173.66 and 205.32

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Solution

The fourth proportional to 782.43, 1,173.66 and 205.32 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.43 : 1,173.66 = 205.32 : x
  2. Step 2: Convert to fraction form
    782.43/1,173.66 = 205.32/x
  3. Step 3: Cross multiply
    782.43x = 1,173.66 × 205.32
  4. Step 4: Simplify right side
    782.43x = 240,975.87
  5. Step 5: Solve for x
    x = 240,975.87/782.43
  6. Step 6: Final answer
    x = 307.98

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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.