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Finding the Fourth Proportional to 843.77, 1,266.10 and 638.28

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Solution

The fourth proportional to 843.77, 1,266.10 and 638.28 is: 957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.77 : 1,266.10 = 638.28 : x
  2. Step 2: Convert to fraction form
    843.77/1,266.10 = 638.28/x
  3. Step 3: Cross multiply
    843.77x = 1,266.10 × 638.28
  4. Step 4: Simplify right side
    843.77x = 808,124.71
  5. Step 5: Solve for x
    x = 808,124.71/843.77
  6. Step 6: Final answer
    x = 957.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.