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Finding the Fourth Proportional to 915.94, 1,380.49 and 863.02

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Solution

The fourth proportional to 915.94, 1,380.49 and 863.02 is: 1,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.94 : 1,380.49 = 863.02 : x
  2. Step 2: Convert to fraction form
    915.94/1,380.49 = 863.02/x
  3. Step 3: Cross multiply
    915.94x = 1,380.49 × 863.02
  4. Step 4: Simplify right side
    915.94x = 1,191,390.48
  5. Step 5: Solve for x
    x = 1,191,390.48/915.94
  6. Step 6: Final answer
    x = 1,300.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.