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Finding the Fourth Proportional to 785.89, 1,177.12 and 511.17

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Solution

The fourth proportional to 785.89, 1,177.12 and 511.17 is: 765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,177.12 = 511.17 : x
  2. Step 2: Convert to fraction form
    785.89/1,177.12 = 511.17/x
  3. Step 3: Cross multiply
    785.89x = 1,177.12 × 511.17
  4. Step 4: Simplify right side
    785.89x = 601,708.43
  5. Step 5: Solve for x
    x = 601,708.43/785.89
  6. Step 6: Final answer
    x = 765.64

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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.