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Finding the Fourth Proportional to 1,131.87, 1,561.98 and 634.53

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Solution

The fourth proportional to 1,131.87, 1,561.98 and 634.53 is: 875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.87 : 1,561.98 = 634.53 : x
  2. Step 2: Convert to fraction form
    1,131.87/1,561.98 = 634.53/x
  3. Step 3: Cross multiply
    1,131.87x = 1,561.98 × 634.53
  4. Step 4: Simplify right side
    1,131.87x = 991,131.41
  5. Step 5: Solve for x
    x = 991,131.41/1,131.87
  6. Step 6: Final answer
    x = 875.66

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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.