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Finding the Fourth Proportional to 799.88, 1,200.93 and 410.15

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Solution

The fourth proportional to 799.88, 1,200.93 and 410.15 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.88 : 1,200.93 = 410.15 : x
  2. Step 2: Convert to fraction form
    799.88/1,200.93 = 410.15/x
  3. Step 3: Cross multiply
    799.88x = 1,200.93 × 410.15
  4. Step 4: Simplify right side
    799.88x = 492,555.43
  5. Step 5: Solve for x
    x = 492,555.43/799.88
  6. Step 6: Final answer
    x = 615.79

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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.