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Finding the Fourth Proportional to 782.79, 1,080.27 and 428.71

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Solution

The fourth proportional to 782.79, 1,080.27 and 428.71 is: 591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.79 : 1,080.27 = 428.71 : x
  2. Step 2: Convert to fraction form
    782.79/1,080.27 = 428.71/x
  3. Step 3: Cross multiply
    782.79x = 1,080.27 × 428.71
  4. Step 4: Simplify right side
    782.79x = 463,121.88
  5. Step 5: Solve for x
    x = 463,121.88/782.79
  6. Step 6: Final answer
    x = 591.63

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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.