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Finding the Fourth Proportional to 787.31, 1,086.50 and 433.23

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Solution

The fourth proportional to 787.31, 1,086.50 and 433.23 is: 597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.31 : 1,086.50 = 433.23 : x
  2. Step 2: Convert to fraction form
    787.31/1,086.50 = 433.23/x
  3. Step 3: Cross multiply
    787.31x = 1,086.50 × 433.23
  4. Step 4: Simplify right side
    787.31x = 470,699.78
  5. Step 5: Solve for x
    x = 470,699.78/787.31
  6. Step 6: Final answer
    x = 597.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.