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Finding the Fourth Proportional to 688.36, 1,027.11 and 619.18

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Solution

The fourth proportional to 688.36, 1,027.11 and 619.18 is: 923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 1,027.11 = 619.18 : x
  2. Step 2: Convert to fraction form
    688.36/1,027.11 = 619.18/x
  3. Step 3: Cross multiply
    688.36x = 1,027.11 × 619.18
  4. Step 4: Simplify right side
    688.36x = 635,965.97
  5. Step 5: Solve for x
    x = 635,965.97/688.36
  6. Step 6: Final answer
    x = 923.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.