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Finding the Fourth Proportional to 799.76, 1,197.72 and 506.24

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Solution

The fourth proportional to 799.76, 1,197.72 and 506.24 is: 758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,197.72 = 506.24 : x
  2. Step 2: Convert to fraction form
    799.76/1,197.72 = 506.24/x
  3. Step 3: Cross multiply
    799.76x = 1,197.72 × 506.24
  4. Step 4: Simplify right side
    799.76x = 606,333.77
  5. Step 5: Solve for x
    x = 606,333.77/799.76
  6. Step 6: Final answer
    x = 758.14

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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.