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Finding the Fourth Proportional to 782.10, 1,079.16 and 634.48

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Solution

The fourth proportional to 782.10, 1,079.16 and 634.48 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,079.16 = 634.48 : x
  2. Step 2: Convert to fraction form
    782.10/1,079.16 = 634.48/x
  3. Step 3: Cross multiply
    782.10x = 1,079.16 × 634.48
  4. Step 4: Simplify right side
    782.10x = 684,705.44
  5. Step 5: Solve for x
    x = 684,705.44/782.10
  6. Step 6: Final answer
    x = 875.47

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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.