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Finding the Fourth Proportional to 782.57, 1,080.06 and 467.73

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Solution

The fourth proportional to 782.57, 1,080.06 and 467.73 is: 645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,080.06 = 467.73 : x
  2. Step 2: Convert to fraction form
    782.57/1,080.06 = 467.73/x
  3. Step 3: Cross multiply
    782.57x = 1,080.06 × 467.73
  4. Step 4: Simplify right side
    782.57x = 505,178.22
  5. Step 5: Solve for x
    x = 505,178.22/782.57
  6. Step 6: Final answer
    x = 645.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.