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Finding the Fourth Proportional to 645.04, 896.26 and 638.26

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Solution

The fourth proportional to 645.04, 896.26 and 638.26 is: 886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.04 : 896.26 = 638.26 : x
  2. Step 2: Convert to fraction form
    645.04/896.26 = 638.26/x
  3. Step 3: Cross multiply
    645.04x = 896.26 × 638.26
  4. Step 4: Simplify right side
    645.04x = 572,046.91
  5. Step 5: Solve for x
    x = 572,046.91/645.04
  6. Step 6: Final answer
    x = 886.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.