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Finding the Fourth Proportional to 785.78, 1,178.14 and 265.54

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Solution

The fourth proportional to 785.78, 1,178.14 and 265.54 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.78 : 1,178.14 = 265.54 : x
  2. Step 2: Convert to fraction form
    785.78/1,178.14 = 265.54/x
  3. Step 3: Cross multiply
    785.78x = 1,178.14 × 265.54
  4. Step 4: Simplify right side
    785.78x = 312,839.69
  5. Step 5: Solve for x
    x = 312,839.69/785.78
  6. Step 6: Final answer
    x = 398.13

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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.