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Finding the Fourth Proportional to 1,011.46, 1,517.04 and 280.96

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Solution

The fourth proportional to 1,011.46, 1,517.04 and 280.96 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.46 : 1,517.04 = 280.96 : x
  2. Step 2: Convert to fraction form
    1,011.46/1,517.04 = 280.96/x
  3. Step 3: Cross multiply
    1,011.46x = 1,517.04 × 280.96
  4. Step 4: Simplify right side
    1,011.46x = 426,227.56
  5. Step 5: Solve for x
    x = 426,227.56/1,011.46
  6. Step 6: Final answer
    x = 421.40

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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.