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Finding the Fourth Proportional to 1,015.84, 1,401.76 and 596.21

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Solution

The fourth proportional to 1,015.84, 1,401.76 and 596.21 is: 822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.84 : 1,401.76 = 596.21 : x
  2. Step 2: Convert to fraction form
    1,015.84/1,401.76 = 596.21/x
  3. Step 3: Cross multiply
    1,015.84x = 1,401.76 × 596.21
  4. Step 4: Simplify right side
    1,015.84x = 835,743.33
  5. Step 5: Solve for x
    x = 835,743.33/1,015.84
  6. Step 6: Final answer
    x = 822.71

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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.