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Finding the Fourth Proportional to 799.08, 1,196.87 and 490.00

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Solution

The fourth proportional to 799.08, 1,196.87 and 490.00 is: 733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.08 : 1,196.87 = 490.00 : x
  2. Step 2: Convert to fraction form
    799.08/1,196.87 = 490.00/x
  3. Step 3: Cross multiply
    799.08x = 1,196.87 × 490.00
  4. Step 4: Simplify right side
    799.08x = 586,460.86
  5. Step 5: Solve for x
    x = 586,460.86/799.08
  6. Step 6: Final answer
    x = 733.92

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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.