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Finding the Fourth Proportional to 784.21, 1,170.17 and 779.65

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Solution

The fourth proportional to 784.21, 1,170.17 and 779.65 is: 1,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.21 : 1,170.17 = 779.65 : x
  2. Step 2: Convert to fraction form
    784.21/1,170.17 = 779.65/x
  3. Step 3: Cross multiply
    784.21x = 1,170.17 × 779.65
  4. Step 4: Simplify right side
    784.21x = 912,323.04
  5. Step 5: Solve for x
    x = 912,323.04/784.21
  6. Step 6: Final answer
    x = 1,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.