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Finding the Fourth Proportional to 787.37, 1,086.57 and 433.33

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Solution

The fourth proportional to 787.37, 1,086.57 and 433.33 is: 598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.37 : 1,086.57 = 433.33 : x
  2. Step 2: Convert to fraction form
    787.37/1,086.57 = 433.33/x
  3. Step 3: Cross multiply
    787.37x = 1,086.57 × 433.33
  4. Step 4: Simplify right side
    787.37x = 470,843.71
  5. Step 5: Solve for x
    x = 470,843.71/787.37
  6. Step 6: Final answer
    x = 598.00

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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.