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Finding the Fourth Proportional to 1,311.45, 1,810.66 and 814.82

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Solution

The fourth proportional to 1,311.45, 1,810.66 and 814.82 is: 1,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.45 : 1,810.66 = 814.82 : x
  2. Step 2: Convert to fraction form
    1,311.45/1,810.66 = 814.82/x
  3. Step 3: Cross multiply
    1,311.45x = 1,810.66 × 814.82
  4. Step 4: Simplify right side
    1,311.45x = 1,475,361.98
  5. Step 5: Solve for x
    x = 1,475,361.98/1,311.45
  6. Step 6: Final answer
    x = 1,124.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.