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Finding the Fourth Proportional to 792.99, 1,182.87 and 694.58

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Solution

The fourth proportional to 792.99, 1,182.87 and 694.58 is: 1,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.99 : 1,182.87 = 694.58 : x
  2. Step 2: Convert to fraction form
    792.99/1,182.87 = 694.58/x
  3. Step 3: Cross multiply
    792.99x = 1,182.87 × 694.58
  4. Step 4: Simplify right side
    792.99x = 821,591.93
  5. Step 5: Solve for x
    x = 821,591.93/792.99
  6. Step 6: Final answer
    x = 1,036.07

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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.