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Finding the Fourth Proportional to 785.15, 1,082.93 and 490.58

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Solution

The fourth proportional to 785.15, 1,082.93 and 490.58 is: 676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.15 : 1,082.93 = 490.58 : x
  2. Step 2: Convert to fraction form
    785.15/1,082.93 = 490.58/x
  3. Step 3: Cross multiply
    785.15x = 1,082.93 × 490.58
  4. Step 4: Simplify right side
    785.15x = 531,263.80
  5. Step 5: Solve for x
    x = 531,263.80/785.15
  6. Step 6: Final answer
    x = 676.64

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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.