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Finding the Fourth Proportional to 787.54, 1,086.83 and 433.48

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Solution

The fourth proportional to 787.54, 1,086.83 and 433.48 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.54 : 1,086.83 = 433.48 : x
  2. Step 2: Convert to fraction form
    787.54/1,086.83 = 433.48/x
  3. Step 3: Cross multiply
    787.54x = 1,086.83 × 433.48
  4. Step 4: Simplify right side
    787.54x = 471,119.07
  5. Step 5: Solve for x
    x = 471,119.07/787.54
  6. Step 6: Final answer
    x = 598.22

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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.