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Finding the Fourth Proportional to 1,028.83, 1,543.28 and 786.85

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Solution

The fourth proportional to 1,028.83, 1,543.28 and 786.85 is: 1,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.83 : 1,543.28 = 786.85 : x
  2. Step 2: Convert to fraction form
    1,028.83/1,543.28 = 786.85/x
  3. Step 3: Cross multiply
    1,028.83x = 1,543.28 × 786.85
  4. Step 4: Simplify right side
    1,028.83x = 1,214,329.87
  5. Step 5: Solve for x
    x = 1,214,329.87/1,028.83
  6. Step 6: Final answer
    x = 1,180.30

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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.