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Finding the Fourth Proportional to 960.75, 1,443.83 and 570.83

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Solution

The fourth proportional to 960.75, 1,443.83 and 570.83 is: 857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,443.83 = 570.83 : x
  2. Step 2: Convert to fraction form
    960.75/1,443.83 = 570.83/x
  3. Step 3: Cross multiply
    960.75x = 1,443.83 × 570.83
  4. Step 4: Simplify right side
    960.75x = 824,175.69
  5. Step 5: Solve for x
    x = 824,175.69/960.75
  6. Step 6: Final answer
    x = 857.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.