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Finding the Fourth Proportional to 664.76, 914.42 and 638.12

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Solution

The fourth proportional to 664.76, 914.42 and 638.12 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.76 : 914.42 = 638.12 : x
  2. Step 2: Convert to fraction form
    664.76/914.42 = 638.12/x
  3. Step 3: Cross multiply
    664.76x = 914.42 × 638.12
  4. Step 4: Simplify right side
    664.76x = 583,509.69
  5. Step 5: Solve for x
    x = 583,509.69/664.76
  6. Step 6: Final answer
    x = 877.77

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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.