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Finding the Fourth Proportional to 1,131.21, 1,560.90 and 633.78

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Solution

The fourth proportional to 1,131.21, 1,560.90 and 633.78 is: 874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.21 : 1,560.90 = 633.78 : x
  2. Step 2: Convert to fraction form
    1,131.21/1,560.90 = 633.78/x
  3. Step 3: Cross multiply
    1,131.21x = 1,560.90 × 633.78
  4. Step 4: Simplify right side
    1,131.21x = 989,267.20
  5. Step 5: Solve for x
    x = 989,267.20/1,131.21
  6. Step 6: Final answer
    x = 874.52

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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.