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Finding the Fourth Proportional to 785.74, 1,178.60 and 200.77

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Solution

The fourth proportional to 785.74, 1,178.60 and 200.77 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.74 : 1,178.60 = 200.77 : x
  2. Step 2: Convert to fraction form
    785.74/1,178.60 = 200.77/x
  3. Step 3: Cross multiply
    785.74x = 1,178.60 × 200.77
  4. Step 4: Simplify right side
    785.74x = 236,627.52
  5. Step 5: Solve for x
    x = 236,627.52/785.74
  6. Step 6: Final answer
    x = 301.15

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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.