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Finding the Fourth Proportional to 782.69, 1,080.09 and 428.65

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Solution

The fourth proportional to 782.69, 1,080.09 and 428.65 is: 591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,080.09 = 428.65 : x
  2. Step 2: Convert to fraction form
    782.69/1,080.09 = 428.65/x
  3. Step 3: Cross multiply
    782.69x = 1,080.09 × 428.65
  4. Step 4: Simplify right side
    782.69x = 462,977.88
  5. Step 5: Solve for x
    x = 462,977.88/782.69
  6. Step 6: Final answer
    x = 591.53

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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.