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Finding the Fourth Proportional to 915.75, 1,266.48 and 863.82

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Solution

The fourth proportional to 915.75, 1,266.48 and 863.82 is: 1,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.75 : 1,266.48 = 863.82 : x
  2. Step 2: Convert to fraction form
    915.75/1,266.48 = 863.82/x
  3. Step 3: Cross multiply
    915.75x = 1,266.48 × 863.82
  4. Step 4: Simplify right side
    915.75x = 1,094,010.75
  5. Step 5: Solve for x
    x = 1,094,010.75/915.75
  6. Step 6: Final answer
    x = 1,194.66

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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.