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Finding the Fourth Proportional to 798.34, 1,199.14 and 474.34

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Solution

The fourth proportional to 798.34, 1,199.14 and 474.34 is: 712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.34 : 1,199.14 = 474.34 : x
  2. Step 2: Convert to fraction form
    798.34/1,199.14 = 474.34/x
  3. Step 3: Cross multiply
    798.34x = 1,199.14 × 474.34
  4. Step 4: Simplify right side
    798.34x = 568,800.07
  5. Step 5: Solve for x
    x = 568,800.07/798.34
  6. Step 6: Final answer
    x = 712.48

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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.