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Finding the Fourth Proportional to 785.75, 1,183.21 and 581.77

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Solution

The fourth proportional to 785.75, 1,183.21 and 581.77 is: 876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 1,183.21 = 581.77 : x
  2. Step 2: Convert to fraction form
    785.75/1,183.21 = 581.77/x
  3. Step 3: Cross multiply
    785.75x = 1,183.21 × 581.77
  4. Step 4: Simplify right side
    785.75x = 688,347.26
  5. Step 5: Solve for x
    x = 688,347.26/785.75
  6. Step 6: Final answer
    x = 876.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.