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Finding the Fourth Proportional to 799.56, 1,199.75 and 584.91

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Solution

The fourth proportional to 799.56, 1,199.75 and 584.91 is: 877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.56 : 1,199.75 = 584.91 : x
  2. Step 2: Convert to fraction form
    799.56/1,199.75 = 584.91/x
  3. Step 3: Cross multiply
    799.56x = 1,199.75 × 584.91
  4. Step 4: Simplify right side
    799.56x = 701,742.85
  5. Step 5: Solve for x
    x = 701,742.85/799.56
  6. Step 6: Final answer
    x = 877.66

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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.