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Finding the Fourth Proportional to 799.58, 1,199.14 and 506.64

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Solution

The fourth proportional to 799.58, 1,199.14 and 506.64 is: 759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.58 : 1,199.14 = 506.64 : x
  2. Step 2: Convert to fraction form
    799.58/1,199.14 = 506.64/x
  3. Step 3: Cross multiply
    799.58x = 1,199.14 × 506.64
  4. Step 4: Simplify right side
    799.58x = 607,529.76
  5. Step 5: Solve for x
    x = 607,529.76/799.58
  6. Step 6: Final answer
    x = 759.82

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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.