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Finding the Fourth Proportional to 787.26, 1,180.60 and 260.06

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Solution

The fourth proportional to 787.26, 1,180.60 and 260.06 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,180.60 = 260.06 : x
  2. Step 2: Convert to fraction form
    787.26/1,180.60 = 260.06/x
  3. Step 3: Cross multiply
    787.26x = 1,180.60 × 260.06
  4. Step 4: Simplify right side
    787.26x = 307,020.28
  5. Step 5: Solve for x
    x = 307,020.28/787.26
  6. Step 6: Final answer
    x = 389.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.