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Finding the Fourth Proportional to 1,015.92, 1,401.84 and 573.86

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Solution

The fourth proportional to 1,015.92, 1,401.84 and 573.86 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.92 : 1,401.84 = 573.86 : x
  2. Step 2: Convert to fraction form
    1,015.92/1,401.84 = 573.86/x
  3. Step 3: Cross multiply
    1,015.92x = 1,401.84 × 573.86
  4. Step 4: Simplify right side
    1,015.92x = 804,459.90
  5. Step 5: Solve for x
    x = 804,459.90/1,015.92
  6. Step 6: Final answer
    x = 791.85

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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.