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Finding the Fourth Proportional to 1,011.38, 1,516.97 and 280.90

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Solution

The fourth proportional to 1,011.38, 1,516.97 and 280.90 is: 421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.38 : 1,516.97 = 280.90 : x
  2. Step 2: Convert to fraction form
    1,011.38/1,516.97 = 280.90/x
  3. Step 3: Cross multiply
    1,011.38x = 1,516.97 × 280.90
  4. Step 4: Simplify right side
    1,011.38x = 426,113.78
  5. Step 5: Solve for x
    x = 426,113.78/1,011.38
  6. Step 6: Final answer
    x = 421.32

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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.