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Finding the Fourth Proportional to 1,011.76, 1,516.22 and 792.66

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Solution

The fourth proportional to 1,011.76, 1,516.22 and 792.66 is: 1,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.76 : 1,516.22 = 792.66 : x
  2. Step 2: Convert to fraction form
    1,011.76/1,516.22 = 792.66/x
  3. Step 3: Cross multiply
    1,011.76x = 1,516.22 × 792.66
  4. Step 4: Simplify right side
    1,011.76x = 1,201,846.95
  5. Step 5: Solve for x
    x = 1,201,846.95/1,011.76
  6. Step 6: Final answer
    x = 1,187.88

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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.