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Finding the Fourth Proportional to 847.31, 1,165.86 and 825.84

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Solution

The fourth proportional to 847.31, 1,165.86 and 825.84 is: 1,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.31 : 1,165.86 = 825.84 : x
  2. Step 2: Convert to fraction form
    847.31/1,165.86 = 825.84/x
  3. Step 3: Cross multiply
    847.31x = 1,165.86 × 825.84
  4. Step 4: Simplify right side
    847.31x = 962,813.82
  5. Step 5: Solve for x
    x = 962,813.82/847.31
  6. Step 6: Final answer
    x = 1,136.32

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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.