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Finding the Fourth Proportional to 799.99, 1,198.15 and 507.48

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Solution

The fourth proportional to 799.99, 1,198.15 and 507.48 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.99 : 1,198.15 = 507.48 : x
  2. Step 2: Convert to fraction form
    799.99/1,198.15 = 507.48/x
  3. Step 3: Cross multiply
    799.99x = 1,198.15 × 507.48
  4. Step 4: Simplify right side
    799.99x = 608,037.16
  5. Step 5: Solve for x
    x = 608,037.16/799.99
  6. Step 6: Final answer
    x = 760.06

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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.