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Finding the Fourth Proportional to 1,078.10, 1,487.46 and 635.84

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Solution

The fourth proportional to 1,078.10, 1,487.46 and 635.84 is: 877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.10 : 1,487.46 = 635.84 : x
  2. Step 2: Convert to fraction form
    1,078.10/1,487.46 = 635.84/x
  3. Step 3: Cross multiply
    1,078.10x = 1,487.46 × 635.84
  4. Step 4: Simplify right side
    1,078.10x = 945,786.57
  5. Step 5: Solve for x
    x = 945,786.57/1,078.10
  6. Step 6: Final answer
    x = 877.27

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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.