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Finding the Fourth Proportional to 798.91, 1,199.31 and 474.50

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Solution

The fourth proportional to 798.91, 1,199.31 and 474.50 is: 712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.91 : 1,199.31 = 474.50 : x
  2. Step 2: Convert to fraction form
    798.91/1,199.31 = 474.50/x
  3. Step 3: Cross multiply
    798.91x = 1,199.31 × 474.50
  4. Step 4: Simplify right side
    798.91x = 569,072.60
  5. Step 5: Solve for x
    x = 569,072.60/798.91
  6. Step 6: Final answer
    x = 712.31

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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.