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Finding the Fourth Proportional to 915.75, 1,263.75 and 654.21

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Solution

The fourth proportional to 915.75, 1,263.75 and 654.21 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.75 : 1,263.75 = 654.21 : x
  2. Step 2: Convert to fraction form
    915.75/1,263.75 = 654.21/x
  3. Step 3: Cross multiply
    915.75x = 1,263.75 × 654.21
  4. Step 4: Simplify right side
    915.75x = 826,757.89
  5. Step 5: Solve for x
    x = 826,757.89/915.75
  6. Step 6: Final answer
    x = 902.82

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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.