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Finding the Fourth Proportional to 1,435.43, 1,980.56 and 814.43

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Solution

The fourth proportional to 1,435.43, 1,980.56 and 814.43 is: 1,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.43 : 1,980.56 = 814.43 : x
  2. Step 2: Convert to fraction form
    1,435.43/1,980.56 = 814.43/x
  3. Step 3: Cross multiply
    1,435.43x = 1,980.56 × 814.43
  4. Step 4: Simplify right side
    1,435.43x = 1,613,023.41
  5. Step 5: Solve for x
    x = 1,613,023.41/1,435.43
  6. Step 6: Final answer
    x = 1,123.72

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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.