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Finding the Fourth Proportional to 782.68, 1,080.29 and 451.31

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Solution

The fourth proportional to 782.68, 1,080.29 and 451.31 is: 622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.68 : 1,080.29 = 451.31 : x
  2. Step 2: Convert to fraction form
    782.68/1,080.29 = 451.31/x
  3. Step 3: Cross multiply
    782.68x = 1,080.29 × 451.31
  4. Step 4: Simplify right side
    782.68x = 487,541.41
  5. Step 5: Solve for x
    x = 487,541.41/782.68
  6. Step 6: Final answer
    x = 622.91

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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.