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Finding the Fourth Proportional to 1,180.02, 1,629.30 and 787.98

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Solution

The fourth proportional to 1,180.02, 1,629.30 and 787.98 is: 1,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.02 : 1,629.30 = 787.98 : x
  2. Step 2: Convert to fraction form
    1,180.02/1,629.30 = 787.98/x
  3. Step 3: Cross multiply
    1,180.02x = 1,629.30 × 787.98
  4. Step 4: Simplify right side
    1,180.02x = 1,283,855.81
  5. Step 5: Solve for x
    x = 1,283,855.81/1,180.02
  6. Step 6: Final answer
    x = 1,087.99

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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.