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Finding the Fourth Proportional to 690.36, 1,027.10 and 663.63

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Solution

The fourth proportional to 690.36, 1,027.10 and 663.63 is: 987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.36 : 1,027.10 = 663.63 : x
  2. Step 2: Convert to fraction form
    690.36/1,027.10 = 663.63/x
  3. Step 3: Cross multiply
    690.36x = 1,027.10 × 663.63
  4. Step 4: Simplify right side
    690.36x = 681,614.37
  5. Step 5: Solve for x
    x = 681,614.37/690.36
  6. Step 6: Final answer
    x = 987.33

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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.