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Finding the Fourth Proportional to 1,399.14, 2,097.34 and 521.00

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Solution

The fourth proportional to 1,399.14, 2,097.34 and 521.00 is: 780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.14 : 2,097.34 = 521.00 : x
  2. Step 2: Convert to fraction form
    1,399.14/2,097.34 = 521.00/x
  3. Step 3: Cross multiply
    1,399.14x = 2,097.34 × 521.00
  4. Step 4: Simplify right side
    1,399.14x = 1,092,709.55
  5. Step 5: Solve for x
    x = 1,092,709.55/1,399.14
  6. Step 6: Final answer
    x = 780.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.