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Finding the Fourth Proportional to 1,008.54, 1,392.48 and 635.94

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Solution

The fourth proportional to 1,008.54, 1,392.48 and 635.94 is: 878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.54 : 1,392.48 = 635.94 : x
  2. Step 2: Convert to fraction form
    1,008.54/1,392.48 = 635.94/x
  3. Step 3: Cross multiply
    1,008.54x = 1,392.48 × 635.94
  4. Step 4: Simplify right side
    1,008.54x = 885,533.73
  5. Step 5: Solve for x
    x = 885,533.73/1,008.54
  6. Step 6: Final answer
    x = 878.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.