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Finding the Fourth Proportional to 785.89, 1,085.16 and 591.49

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Solution

The fourth proportional to 785.89, 1,085.16 and 591.49 is: 816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,085.16 = 591.49 : x
  2. Step 2: Convert to fraction form
    785.89/1,085.16 = 591.49/x
  3. Step 3: Cross multiply
    785.89x = 1,085.16 × 591.49
  4. Step 4: Simplify right side
    785.89x = 641,861.29
  5. Step 5: Solve for x
    x = 641,861.29/785.89
  6. Step 6: Final answer
    x = 816.73

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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.