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Finding the Fourth Proportional to 645.63, 885.17 and 633.95

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Solution

The fourth proportional to 645.63, 885.17 and 633.95 is: 869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 885.17 = 633.95 : x
  2. Step 2: Convert to fraction form
    645.63/885.17 = 633.95/x
  3. Step 3: Cross multiply
    645.63x = 885.17 × 633.95
  4. Step 4: Simplify right side
    645.63x = 561,145.93
  5. Step 5: Solve for x
    x = 561,145.93/645.63
  6. Step 6: Final answer
    x = 869.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.