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Finding the Fourth Proportional to 787.19, 1,086.24 and 433.03

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Solution

The fourth proportional to 787.19, 1,086.24 and 433.03 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.19 : 1,086.24 = 433.03 : x
  2. Step 2: Convert to fraction form
    787.19/1,086.24 = 433.03/x
  3. Step 3: Cross multiply
    787.19x = 1,086.24 × 433.03
  4. Step 4: Simplify right side
    787.19x = 470,375.45
  5. Step 5: Solve for x
    x = 470,375.45/787.19
  6. Step 6: Final answer
    x = 597.54

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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.