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Finding the Fourth Proportional to 816.48, 1,213.65 and 794.34

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Solution

The fourth proportional to 816.48, 1,213.65 and 794.34 is: 1,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.48 : 1,213.65 = 794.34 : x
  2. Step 2: Convert to fraction form
    816.48/1,213.65 = 794.34/x
  3. Step 3: Cross multiply
    816.48x = 1,213.65 × 794.34
  4. Step 4: Simplify right side
    816.48x = 964,050.74
  5. Step 5: Solve for x
    x = 964,050.74/816.48
  6. Step 6: Final answer
    x = 1,180.74

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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.