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Finding the Fourth Proportional to 787.29, 1,086.51 and 433.23

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Solution

The fourth proportional to 787.29, 1,086.51 and 433.23 is: 597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.29 : 1,086.51 = 433.23 : x
  2. Step 2: Convert to fraction form
    787.29/1,086.51 = 433.23/x
  3. Step 3: Cross multiply
    787.29x = 1,086.51 × 433.23
  4. Step 4: Simplify right side
    787.29x = 470,708.73
  5. Step 5: Solve for x
    x = 470,708.73/787.29
  6. Step 6: Final answer
    x = 597.88

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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.