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Finding the Fourth Proportional to 779.34, 1,169.22 and 670.68

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Solution

The fourth proportional to 779.34, 1,169.22 and 670.68 is: 1,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.34 : 1,169.22 = 670.68 : x
  2. Step 2: Convert to fraction form
    779.34/1,169.22 = 670.68/x
  3. Step 3: Cross multiply
    779.34x = 1,169.22 × 670.68
  4. Step 4: Simplify right side
    779.34x = 784,172.47
  5. Step 5: Solve for x
    x = 784,172.47/779.34
  6. Step 6: Final answer
    x = 1,006.20

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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.