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Finding the Fourth Proportional to 716.94, 1,076.33 and 392.54

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Solution

The fourth proportional to 716.94, 1,076.33 and 392.54 is: 589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.94 : 1,076.33 = 392.54 : x
  2. Step 2: Convert to fraction form
    716.94/1,076.33 = 392.54/x
  3. Step 3: Cross multiply
    716.94x = 1,076.33 × 392.54
  4. Step 4: Simplify right side
    716.94x = 422,495.23
  5. Step 5: Solve for x
    x = 422,495.23/716.94
  6. Step 6: Final answer
    x = 589.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.