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Finding the Fourth Proportional to 785.27, 1,177.89 and 456.70

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Solution

The fourth proportional to 785.27, 1,177.89 and 456.70 is: 685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.27 : 1,177.89 = 456.70 : x
  2. Step 2: Convert to fraction form
    785.27/1,177.89 = 456.70/x
  3. Step 3: Cross multiply
    785.27x = 1,177.89 × 456.70
  4. Step 4: Simplify right side
    785.27x = 537,942.36
  5. Step 5: Solve for x
    x = 537,942.36/785.27
  6. Step 6: Final answer
    x = 685.04

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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.