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Finding the Fourth Proportional to 1,011.44, 1,517.15 and 280.91

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Solution

The fourth proportional to 1,011.44, 1,517.15 and 280.91 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.44 : 1,517.15 = 280.91 : x
  2. Step 2: Convert to fraction form
    1,011.44/1,517.15 = 280.91/x
  3. Step 3: Cross multiply
    1,011.44x = 1,517.15 × 280.91
  4. Step 4: Simplify right side
    1,011.44x = 426,187.10
  5. Step 5: Solve for x
    x = 426,187.10/1,011.44
  6. Step 6: Final answer
    x = 421.37

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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.