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Finding the Fourth Proportional to 1,131.67, 1,561.62 and 634.29

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Solution

The fourth proportional to 1,131.67, 1,561.62 and 634.29 is: 875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.67 : 1,561.62 = 634.29 : x
  2. Step 2: Convert to fraction form
    1,131.67/1,561.62 = 634.29/x
  3. Step 3: Cross multiply
    1,131.67x = 1,561.62 × 634.29
  4. Step 4: Simplify right side
    1,131.67x = 990,519.95
  5. Step 5: Solve for x
    x = 990,519.95/1,131.67
  6. Step 6: Final answer
    x = 875.27

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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.