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Finding the Fourth Proportional to 1,434.75, 1,980.20 and 814.11

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Solution

The fourth proportional to 1,434.75, 1,980.20 and 814.11 is: 1,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.75 : 1,980.20 = 814.11 : x
  2. Step 2: Convert to fraction form
    1,434.75/1,980.20 = 814.11/x
  3. Step 3: Cross multiply
    1,434.75x = 1,980.20 × 814.11
  4. Step 4: Simplify right side
    1,434.75x = 1,612,096.55
  5. Step 5: Solve for x
    x = 1,612,096.55/1,434.75
  6. Step 6: Final answer
    x = 1,123.61

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