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Finding the Fourth Proportional to 832.60, 1,251.17 and 778.41

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Solution

The fourth proportional to 832.60, 1,251.17 and 778.41 is: 1,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.60 : 1,251.17 = 778.41 : x
  2. Step 2: Convert to fraction form
    832.60/1,251.17 = 778.41/x
  3. Step 3: Cross multiply
    832.60x = 1,251.17 × 778.41
  4. Step 4: Simplify right side
    832.60x = 973,923.24
  5. Step 5: Solve for x
    x = 973,923.24/832.60
  6. Step 6: Final answer
    x = 1,169.74

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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.