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Finding the Fourth Proportional to 876.22, 1,306.93 and 825.46

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Solution

The fourth proportional to 876.22, 1,306.93 and 825.46 is: 1,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.22 : 1,306.93 = 825.46 : x
  2. Step 2: Convert to fraction form
    876.22/1,306.93 = 825.46/x
  3. Step 3: Cross multiply
    876.22x = 1,306.93 × 825.46
  4. Step 4: Simplify right side
    876.22x = 1,078,818.44
  5. Step 5: Solve for x
    x = 1,078,818.44/876.22
  6. Step 6: Final answer
    x = 1,231.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.