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Finding the Fourth Proportional to 975, 1,461.42 and 541.92

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Solution

The fourth proportional to 975, 1,461.42 and 541.92 is: 812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 1,461.42 = 541.92 : x
  2. Step 2: Convert to fraction form
    975/1,461.42 = 541.92/x
  3. Step 3: Cross multiply
    975x = 1,461.42 × 541.92
  4. Step 4: Simplify right side
    975x = 791,972.73
  5. Step 5: Solve for x
    x = 791,972.73/975
  6. Step 6: Final answer
    x = 812.28

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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.