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Finding the Fourth Proportional to 825.88, 1,237.36 and 695.74

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Solution

The fourth proportional to 825.88, 1,237.36 and 695.74 is: 1,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.88 : 1,237.36 = 695.74 : x
  2. Step 2: Convert to fraction form
    825.88/1,237.36 = 695.74/x
  3. Step 3: Cross multiply
    825.88x = 1,237.36 × 695.74
  4. Step 4: Simplify right side
    825.88x = 860,880.85
  5. Step 5: Solve for x
    x = 860,880.85/825.88
  6. Step 6: Final answer
    x = 1,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.