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Finding the Fourth Proportional to 650.88, 900.78 and 634.68

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Solution

The fourth proportional to 650.88, 900.78 and 634.68 is: 878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 900.78 = 634.68 : x
  2. Step 2: Convert to fraction form
    650.88/900.78 = 634.68/x
  3. Step 3: Cross multiply
    650.88x = 900.78 × 634.68
  4. Step 4: Simplify right side
    650.88x = 571,707.05
  5. Step 5: Solve for x
    x = 571,707.05/650.88
  6. Step 6: Final answer
    x = 878.36

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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.