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Finding the Fourth Proportional to 793.80, 1,193.13 and 784.08

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Solution

The fourth proportional to 793.80, 1,193.13 and 784.08 is: 1,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.80 : 1,193.13 = 784.08 : x
  2. Step 2: Convert to fraction form
    793.80/1,193.13 = 784.08/x
  3. Step 3: Cross multiply
    793.80x = 1,193.13 × 784.08
  4. Step 4: Simplify right side
    793.80x = 935,509.37
  5. Step 5: Solve for x
    x = 935,509.37/793.80
  6. Step 6: Final answer
    x = 1,178.52

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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.