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Finding the Fourth Proportional to 1,016.11, 1,401.79 and 596.59

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Solution

The fourth proportional to 1,016.11, 1,401.79 and 596.59 is: 823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.11 : 1,401.79 = 596.59 : x
  2. Step 2: Convert to fraction form
    1,016.11/1,401.79 = 596.59/x
  3. Step 3: Cross multiply
    1,016.11x = 1,401.79 × 596.59
  4. Step 4: Simplify right side
    1,016.11x = 836,293.90
  5. Step 5: Solve for x
    x = 836,293.90/1,016.11
  6. Step 6: Final answer
    x = 823.03

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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.