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Finding the Fourth Proportional to 1,404.12, 1,936.98 and 814.54

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Solution

The fourth proportional to 1,404.12, 1,936.98 and 814.54 is: 1,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.12 : 1,936.98 = 814.54 : x
  2. Step 2: Convert to fraction form
    1,404.12/1,936.98 = 814.54/x
  3. Step 3: Cross multiply
    1,404.12x = 1,936.98 × 814.54
  4. Step 4: Simplify right side
    1,404.12x = 1,577,747.69
  5. Step 5: Solve for x
    x = 1,577,747.69/1,404.12
  6. Step 6: Final answer
    x = 1,123.66

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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.