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Finding the Fourth Proportional to 1,015.29, 1,401.12 and 573.21

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Solution

The fourth proportional to 1,015.29, 1,401.12 and 573.21 is: 791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.29 : 1,401.12 = 573.21 : x
  2. Step 2: Convert to fraction form
    1,015.29/1,401.12 = 573.21/x
  3. Step 3: Cross multiply
    1,015.29x = 1,401.12 × 573.21
  4. Step 4: Simplify right side
    1,015.29x = 803,136.00
  5. Step 5: Solve for x
    x = 803,136.00/1,015.29
  6. Step 6: Final answer
    x = 791.04

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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.