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Finding the Fourth Proportional to 787.04, 1,180.56 and 354.32

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Solution

The fourth proportional to 787.04, 1,180.56 and 354.32 is: 531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.04 : 1,180.56 = 354.32 : x
  2. Step 2: Convert to fraction form
    787.04/1,180.56 = 354.32/x
  3. Step 3: Cross multiply
    787.04x = 1,180.56 × 354.32
  4. Step 4: Simplify right side
    787.04x = 418,296.02
  5. Step 5: Solve for x
    x = 418,296.02/787.04
  6. Step 6: Final answer
    x = 531.48

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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.