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Finding the Fourth Proportional to 791.32, 1,193.95 and 784.84

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Solution

The fourth proportional to 791.32, 1,193.95 and 784.84 is: 1,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.32 : 1,193.95 = 784.84 : x
  2. Step 2: Convert to fraction form
    791.32/1,193.95 = 784.84/x
  3. Step 3: Cross multiply
    791.32x = 1,193.95 × 784.84
  4. Step 4: Simplify right side
    791.32x = 937,059.72
  5. Step 5: Solve for x
    x = 937,059.72/791.32
  6. Step 6: Final answer
    x = 1,184.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.