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Finding the Fourth Proportional to 1,132.63, 1,563.20 and 635.33

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Solution

The fourth proportional to 1,132.63, 1,563.20 and 635.33 is: 876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.63 : 1,563.20 = 635.33 : x
  2. Step 2: Convert to fraction form
    1,132.63/1,563.20 = 635.33/x
  3. Step 3: Cross multiply
    1,132.63x = 1,563.20 × 635.33
  4. Step 4: Simplify right side
    1,132.63x = 993,142.36
  5. Step 5: Solve for x
    x = 993,142.36/1,132.63
  6. Step 6: Final answer
    x = 876.84

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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.