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Finding the Fourth Proportional to 799.19, 1,200.14 and 434.69

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Solution

The fourth proportional to 799.19, 1,200.14 and 434.69 is: 652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.19 : 1,200.14 = 434.69 : x
  2. Step 2: Convert to fraction form
    799.19/1,200.14 = 434.69/x
  3. Step 3: Cross multiply
    799.19x = 1,200.14 × 434.69
  4. Step 4: Simplify right side
    799.19x = 521,680.68
  5. Step 5: Solve for x
    x = 521,680.68/799.19
  6. Step 6: Final answer
    x = 652.77

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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.