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Finding the Fourth Proportional to 1,015.68, 1,401.41 and 573.49

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Solution

The fourth proportional to 1,015.68, 1,401.41 and 573.49 is: 791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.68 : 1,401.41 = 573.49 : x
  2. Step 2: Convert to fraction form
    1,015.68/1,401.41 = 573.49/x
  3. Step 3: Cross multiply
    1,015.68x = 1,401.41 × 573.49
  4. Step 4: Simplify right side
    1,015.68x = 803,684.75
  5. Step 5: Solve for x
    x = 803,684.75/1,015.68
  6. Step 6: Final answer
    x = 791.28

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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.