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Finding the Fourth Proportional to 1,016.35, 1,402.07 and 596.44

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Solution

The fourth proportional to 1,016.35, 1,402.07 and 596.44 is: 822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.35 : 1,402.07 = 596.44 : x
  2. Step 2: Convert to fraction form
    1,016.35/1,402.07 = 596.44/x
  3. Step 3: Cross multiply
    1,016.35x = 1,402.07 × 596.44
  4. Step 4: Simplify right side
    1,016.35x = 836,244.14
  5. Step 5: Solve for x
    x = 836,244.14/1,016.35
  6. Step 6: Final answer
    x = 822.79

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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.