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Finding the Fourth Proportional to 1,403.60, 1,936.91 and 814.05

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Solution

The fourth proportional to 1,403.60, 1,936.91 and 814.05 is: 1,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.60 : 1,936.91 = 814.05 : x
  2. Step 2: Convert to fraction form
    1,403.60/1,936.91 = 814.05/x
  3. Step 3: Cross multiply
    1,403.60x = 1,936.91 × 814.05
  4. Step 4: Simplify right side
    1,403.60x = 1,576,743.62
  5. Step 5: Solve for x
    x = 1,576,743.62/1,403.60
  6. Step 6: Final answer
    x = 1,123.36

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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.