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Finding the Fourth Proportional to 1,180.53, 1,629.59 and 787.41

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Solution

The fourth proportional to 1,180.53, 1,629.59 and 787.41 is: 1,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.53 : 1,629.59 = 787.41 : x
  2. Step 2: Convert to fraction form
    1,180.53/1,629.59 = 787.41/x
  3. Step 3: Cross multiply
    1,180.53x = 1,629.59 × 787.41
  4. Step 4: Simplify right side
    1,180.53x = 1,283,151.52
  5. Step 5: Solve for x
    x = 1,283,151.52/1,180.53
  6. Step 6: Final answer
    x = 1,086.93

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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.